A car starts from rest and experiences an acceleration of 4 m/s^2 for 10 seconds, after which it maintains a constant speed for 20 seconds. Then, it decelerates evenly to a stop within 5 seconds. Calculate: a) The total distance traveled by the car. b) The total time elapsed from the start until the car stops.

A car starts from rest and experiences an acceleration of 4 m/s^2 for 10 seconds, after which it maintains a constant speed for 20 seconds. Then, it decelerates evenly to a stop within 5 seconds. Calculate: a) The total distance traveled by the car. b) The total time elapsed from the start until the car stops.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...

See similar textbooks

Similar questions

An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in meters and t is in seconds. Determine (a) the average speed between t = 2.00 s and t = 3.00 s, (b) the instantaneous speed at t = 2.00 s and at t = 3.00 s, (c) the average acceleration between t = 2.00 s and t = 3.00 s, and (d) the instantaneous acceleration at t = 2.00 s and t = 3.00 s. (e) At what time is the object at rest?
-L.1971+38.67 Time (in seconds) The driver of a vehicle applies the brakes, softly at first, then harder, coming to a complete stop after 7 sec. The velocity as a function of time is modeled by the function v(t) = -1.197t² + 58.67,. where v is in feet per second, t is in seconds and 0sis 7. How far did the vehicle travel while the driver was braking? Velocity (in feet per second)
A stone is dropped from the deck of a bridge. The sound of the splash reached the deck 3 secs later. The speed of sound is 342 m/s in still air. Which of the following gives the time the stone travels from the deck to the water surface before the splash? A 4.181 secs B) 8.281 secs 3.188 secs 1.881 secs E) 2.881 secs F 0.288 secs
Earthquakes produce several types of shock waves. The most well known are the P-waves (P for primary or pressure) and the S-waves (S for secondary or shear). In the earth’s crust, P-waves travel at about 6.5 km>s and S-waves move at about 3.5 km/s. The time delay between the arrival of these two waves at a seismic recording station tells geologists how far away an earthquake occurred. If the time delay is 33 s, how far from the seismic station did the earthquake occur?
5 4 3 4 5 8 T(s) During what time interval is the acceleration negative? From t = 7 s to t = 9 s The acceleration is never negative. From t = 0 s to t = 3 s From t = 3 s to t = 7 s O From t = 0 s to t = 9 s Vy (m/s)
2.68 0. CALC An object's velocity is measured to be v,(1) = a – Bt², . 4.00 m/s and B = 2.00 m/s. At t = 0 the object is at x = 0. (a) Calculate the object's position and acceleration as functions of time. (b) What is the object's maximum positive displacement from the origin? where a =
a berry rage. Given the v-t graph, find the instantaneous acceleration at time t = 1[s] and the average acceleration from time t = 2[s] to t = 4 [s). 25 15. 5.0 2.0 4.0 6.0 8.0 t(s) arad = 5; aave = 10 [m/s?] O arad = 0; aave = 10 [m/s2] arad = 10; aave = 10 [m/s?] O arad = 10; aave = 5 [m/s2] O O O Vx (m/s)
The velocity of a particle is given by the equation v = 5.0t - 0.60 t2(in m/s). What is the instantaneous accelaration of the particle at = 2.0 s? 6.2 m/s2 O 2.6 m/s2 5.0 m/s2 O 3.8 m/s2
1. A train leaves the station on a 50 km commute. The train must make a 60-second stopevery 1.0 km to pick up and drop off passengers. The train accelerates at 2.0 m/s2, then cruises at90 km/h, and then decelerates at 5.0 m/s2 between stops.(a.} How many stops does the train make?(b.} How long does it take for the train to get from one stop to the next?(c.} What is the total time for the entire commute?
デジタル形式で段階的に解決ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT • Estimate the average speed of the Apollo spacecraft in meters per second, given that it takes the spacecraft five days to reach the Moon from Earth. (The Moon is 3.8x108 m from Earth.)
Two cars are traveling at the same speed of 70 kph on a level road. Car A decelerates at the rate of 2m/s2. Car A is 100m ahead of B. From this instant up to the time B overtakes A, how far has B traveled?
1039. A car accelerates for t sec from rest to a velocity of 48 ft per sec, the accelera- tion increasing uniformly from zero to 12 ft per sec?. During the next 4 sec, the car decelerates at a constant rate to a velocity of 4 ft per sec. Sketch the a-t, v-t, and 8-t curves.