The accelerationof a particle is given by ax(t) =-2.00 m/s2 + (3.00 m/s3)t. (a)Find the initial velocity v0x such thatthe particle will have the same xcoordinateat t = 4.00 s as it had att = 0. (b) What will be the velocity at t = 4.00 s ?

The accelerationof a particle is given by ax(t) =-2.00 m/s2 + (3.00 m/s3)t. (a)Find the initial velocity v0x such thatthe particle will have the same xcoordinateat t = 4.00 s as it had att = 0. (b) What will be the velocity at t = 4.00 s ?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....

See similar textbooks

Related questions

Q: In a slap shot, a hockey player accelerates the puck froma velocity of 8.00 m/s to 40.0 m/s in the…

A: Given: u = 8 m/s v = 40 m/s t = 3.33 x 10-2 s

Q: A particle starts moving from the origin in xy-plane with initial velocity = –2î +6j m/s. If the…

A: Given data The initial velocity is given as v1→=-2i^+6j^ m/s. The final velocity is given as…

Q: The minimum distance required to stop a car moving at 35.0 mi/h is 40.0 ſt. Whhat is the minimum…

A: Recall Vf2=Vi2+2ad Here Vf=0 in both cases.

Q: When you step onto a hot beach with your bare feet, a nerve impulse generated in your foot travels…

A: Let v denotes the average speed of the nerve impulse, d denotes the distance travelled by the nerve…

Q: • A finch rides on the back of a Galapagos tortoise, which walksat the stately pace of 0.060 m>s.…

Q: A soccer player kicks a rock horizontally off a cliff 40.0 m high into a pool of water. If the…

A: Given:- Height of the cliff is h=40.0 m. The player hears the sound of the splash after time t0=3.00…

Q: A ball is thrown directly downward with an initial speed of 8.95 m/s, from a height of 29.5 m. After…

A: Initial velocity of ball (u) = 8.95 m/s (downwards) Height (h) = 29.5 m

Q: And object has an initial velocity of 15 m/s in a constant acceleration of 4 m/s squared. How long…

A: Initial velocity u=15m/sAcceleration a=4m/s2

Q: A projectile is fired vertically upward with an initial velocity of 150 m/sec from a point 2 m above…

A: In the given question, Initial velocity of the projectile (u) = 150m/s The projectile is fired…

Q: An airliner must reach a speed of 110 m/s to take off. If the available runway is 2.4 km and the…

A: According to Bartleby guidelines, I can answer the very first question in case of multiple…

Q: What is the maximum height attained by an object that is thrownstraight upward with an initial…

A: Given:Velocity of the object upward = 80 m/s

Q: A ball is thrown straight upward with an initial velocity of +7.3 m>s. If the accelerationof the…

Q: A ball is thrown directly downward with an initial speed of 8.70 m/s, from a height of 30.1 m. After…

Q: A ball is thrown directly downward with an initial speed of 7.15 m/s, from a height of 29.6 m. After…

Q: The driver of a car traveling at 110km/h slams on the brakes so that the car undergoes a constant…

A: Given: The initial speed of the car is 110 km/h. The time taken by the car is 4.5 s.

Q: A particle has an acceleration of +6.24 m>s2 for 0.450 s. At theend of this time the particle’s…

Q: A 5 kg object is shot straight up with an initial velocity of 1 m/s from the ground. If air…

Q: - The pasition as a function of time of a body dropped rom a certain height is described by He…

A: Given that The position vector is r(t)→ = [-(4.9t2)j^]m

Q: See attached screenshot for question. I know what A, B, and C represent but I am not sure how to…

A: Instantaneous velocity vinst is calculated as,

Q: A piece of stone thrown vertically upwards. It reaches the maximum height in 8 seconds.lf the…

A: Given data : Final velocity of stone = V Acceleration due to…

Q: Mature salmon swim upstream, returning to spawn at their birthplace. During the arduous trip they…

A: Height of the waterfall is H = 3.09 m

Q: An aircraft has a lift-off speed of 12.1 km/h. If the aircraft's acceleration is constant, what…

A: The expression for the required time,

Q: During a hard sneeze, your eyes might shut for 0.31 s. If you are driving a car at 81 km/h during…

A: Given data The time interval of a hard sneeze is given as t = 0.31 s. The speed of the car is given…

Q: The velocity of a particle traveling in a straight line is given by v = (6t - 3t^2) m/s, where t is…

A: Given: The velocity of a particle traveling in a straight line is given by v = (6t - 3t^2) m/s.…

Q: Landing with a speed of 71.4 m>s, and traveling due south, ajet comes to rest in 949 m. Assuming…

A: A jet travelling due south, comes to rest. Given,

Q: A ball is thrown directly downward with an initial speed of 7.45 m/s from a height of 30.4 m. After…

Q: A soccer player kicks a rock horizontally off a 40.0-m high cliff into a pool of water. If the…

A: Solution: Given that yi = 40 m yf = 0 when he kicks it horizontally vyi=0 tsound=3 s vsound=343 m/s…

Q: A rocket, initially at rest ,is fired vertically with an upward acceleration of 10m/s^2. At an…

A: GivenAcceleration (a) = 10 m/s2Distance (S) = 0.50 km = 500 mInitial velocity (u) = 0 m/s

Q: Under what condition is average velocity equal to the average of the object's initial and final…

A: If v,u,s and a are final velocity, initial velocity, displacement and constant acceleration of any…

Q: A ball is thrown directly downward with an initial speed of 8. 35 m/s from a height of 35 meters.…

A: Given an initial speed Vi = 8.35m/s And height s=35m and gravitational acceleration g=9.8m/s And the…

Q: A bullet is fired straight up with a muzzle velocity of 460 m/s. How long will it take to reach its…

A: Given data: Initial velocity (V0) = 460 m/s, upward Required: Time taken to reach maximum height…

Q: A ball is thrown into the air with an upward velocity of 48 ft/sec. Its height h in feet after t…

A: Given : Upward velocity of ball (v) = 48 ft/sec Height h in feet after t seconds is given by the…

Q: An object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3 m/s…

A: From equation of kinematics, V = U + at where, V = final velocity ; U = initial velocity a =…

Q: A rubber ball is thrown horizontally from the window by a toddler with an initial velocity of 5 m/s.…

Q: A car is traveling east at 25.0 m/s when it turns due north andaccelerates to 35.0 m/s, all during a…

A: Given:Velocity of car in east direction (v1) = 25 m/sVelocity of car in north direction (v2) = 35…

Q: If an object momentarily has zero velocity, is its acceleration zero?

A: No , If the object movement that really has zero velocity then its Acceleration is not zero. The…

Q: A dog running in an open field has components of velocity v,= 2.5 m/s and v, = -1.8 m/s at t, = 10.0…

A: Given : v1x = 2.5 m/s v1y = -1.8 m/s t1 = 10 s v2x = -3.5 m/s v2y = 2.2 m/s t2 = 30 s

Q: A ball is thrown directly downward with an initial speedof 8.00 m/s, from a height of 30.0 m. After…

A: A ball is thrown downwards with an initial speed 8.00m/s from a height of 30.0m.

Q: The initial velocity (in m/s) of a particle is given by v0 = 3i - 4j. It experiences an acceleration…

A: Given data: Initial velocity v0 = 3i -4j acceleration, a=2i+5k time , t= 5.0 s

Q: Suppose a ball is

A: -32 ft/ sec

Q: A particle is moving with velocity vo when s = 0 and t = 0. If it is subjected to a deceleration of…

A: Recall dvdt=ads/dt=v

Q: A football player runs from his own goal line to the opposing team’s goal line, returning to the…

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

The acceleration
of a particle is given by ax(t) =
-2.00 m/s2 + (3.00 m/s3)t. (a)
Find the initial velocity v0x such that
the particle will have the same xcoordinate
at t = 4.00 s as it had at
t = 0. (b) What will be the velocity at t = 4.00 s ?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A particle has an acceleration of +6.24 m>s2 for 0.450 s. At theend of this time the particle’s velocity is +9.31 m>s. What was theparticle’s initial velocity?
The position of a particle is r (t) = (3.0t i+5.0j-6.0tk) m. r2(t)=(3.0t2/+5.0jh-6.0tkJm. (a) Determine its velocity and acceleration as functions of time. (b) What are its velocity and acce le ration at time t = 0?
In Bosnia, the ultimate test of a young man’s courage usedto be to jump off a 400 - year - old bridge (destroyed in 1993;rebuilt in 2004) into the River Neretva, 23 m below the bridge.(a) How long did the jump last? (b) How fast was the jumpertraveling upon impact with the river? (c) If the speed of soundin air is 340 m/s, how long after the jumper took off did aspectator on the bridge hear the splash?
(b) the màx im height reached the U=20 m ss d:40 ms 16. An object, initially at rest, moves in a graight Jipe 7. with constant acceleration and covers a distance of 250 m in 10s. Calculate (a) Acceleration (b) Final velocity
A person tosses a ball for her puppy to retrieve. The ball leaves herhand horizontally with a speed of 4.6 m>s. If the initial height ofthe ball is 0.95 m above the ground, how far does it travel in thehorizontal direction before landing?
A model rocket blasts off and moves upward with an acceleration of 12 m>s2 until it reaches a height of 29 m, at which point itsengine shuts off and it continues its flight in free fall. (a) What isthe maximum height attained by the rocket? (b) What is the speedof the rocket just before it hits the ground? (c) What is the totalduration of the rocket’s flight?
A boat moves slowly inside a marina (so as not to leave a wake) with a constant speed of 1.50 m>s. As soon as it passesthe breakwater, leaving the marina, it throttles up and accelerates at 2.40 m>s2. (a) How fast is the boat moving afteraccelerating for 5.00 s? (b) How far has the boat traveled in these 5.00 s?
A hot-air balloon has just lifted off and is rising at the constantrate of 2.0 m>s. Suddenly one of the passengers realizes she hasleft her camera on the ground. A friend picks it up and tosses itstraight upward with an initial speed of 13 m>s. If the passengeris 2.5 m above her friend when the camera is tossed, how high isshe when the camera reaches her?
In the 1968 Olympics in Mexico City, Bob Beamon shattered the record forthe long jump with a jump of 8.90 m. His speed on takeoff was 9.5 m/s.How close did this athlete come to the maximum possible range in theabsence of air resistance?
A ball is throw hoard from the ground with initial velocity vi= 14 m/s and reaches height of h above the ground before falling back down. Take the upwards direction to be positive. Neglect air resistance. (A) What is the acceleration, in meters per second quarter, to the ball when it it is in the air? (B) What is the velocity of the ball, in meters per second, when it reaches the top of its trajectory? (C) Enter an expression for the maximum height, h, the ball reaches in terms of vf, vi, and a. (D) Calculate the value of h, in meters. (E) Enter an expression for the time it takes for the ball to trace from the ground to the top, delta t, in terms of vi, vf, and a. (F) Calculate the value of delta t in seconds. (G) What is the total displacement, in meters, of the ball going through its entire motion: traveling from the ground to the top then falling back to the ground? (H) Enter an expression for the total time of flight of the ball: the time from when it is launches to when it…
At the 18th green of the U.S. Open you need to make a 23.5-ftputt to win the tournament. When you hit the ball, giving itan initial speed of 1.54 m>s, it stops 6.00 ft short of the hole.(a) Assuming the deceleration caused by the grass is constant,what should the initial speed have been to just make the putt?(b) What initial speed do you need to make the remaining 6.00-ft putt?
You drive a beat-up pickup truck down a straight road for 5.2 mi at 43 mi/h, at which point yourun out of fuel. You walk 1.2 mi farther, to the nearest gas station, in 27 min (= 0.450 h). What isyour average velocity from the time you started your truck to the time that you arrived at thestation?