A particle P moves in a straight line. It starts from rest at a point O and moves towards a point A on the line. During the first 8 seconds P's speed increases to 8 ms¹ with constant acceleration. During the next 12 seconds P's speed decreases to 2 ms¹ with constant deceleration. P then moves with constant acceleration for 6 seconds, reaching A with speed 6.5 ms-¹. (i) Sketch the velocity-time graph for P's motion. The displacement of P from O, at time t seconds after P leaves O, is s metres. (ii) Shade the region of the velocity-time graph representing s for a value of t where 20 ≤ t ≤26. (iii) Show that, for 20 ≤ t ≤ 26, s = 0.375t² - 13t+ 202.

A particle P moves in a straight line. It starts from rest at a point O and moves towards a point A on the line. During the first 8 seconds P's speed increases to 8 ms¹ with constant acceleration. During the next 12 seconds P's speed decreases to 2 ms¹ with constant deceleration. P then moves with constant acceleration for 6 seconds, reaching A with speed 6.5 ms-¹. (i) Sketch the velocity-time graph for P's motion. The displacement of P from O, at time t seconds after P leaves O, is s metres. (ii) Shade the region of the velocity-time graph representing s for a value of t where 20 ≤ t ≤26. (iii) Show that, for 20 ≤ t ≤ 26, s = 0.375t² - 13t+ 202.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 2.65AP: A ball starts from rest and accelerates at 0.5(H) m/s2 while moving down an inclined plane 9.00 m...

See similar textbooks

Similar questions

Hi there! Josh cycles 3.5 km [E], then 2.9 km [N], and finally 3.5 km[W]. His total time is 34.8 minutes. What is Josh’s speed? And what is Josh’s velocity? Thanks :)
8. A particle P moves in a straight line. It starts from rest at a point O and moves towards a point A on the line. During the first 8 seconds P's speed increases to 8 ms-1 with constant acceleration. During the next 12 seconds P's speed decreases to 2 ms-1 with constant deceleration. P then moves with constant acceleration for 6 seconds, reaching A with speed 6.5 ms-1. (i) Sketch the velocity-time graph for P's motion. The displacement of P from O, at time t seconds after P leaves O, is s metres. (ii) Shade the region of the velocity-time graph representing s for a value of t where 20
A car starts from rest and foes down a slope with constant acceleration of 5m/s2. After 5s, the car reaches the bottom of the hill. What is the car's speed at the bottom of the hill (in meters per second)? O 160 O 50 О 12.5 O 25 O 1
When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/sm/s over a distance of 0.50 mmmm . a) What is the flea's acceleration as it extends its legs? b) How long does it take the flea to leave the ground after it begins pushing off?
A sprinter runs the length of a running track of length 150 m. To start, she accelerates at 5.0 m/s? for 2.0 seconds and to stop she decelerates at 2.5 m/s2. She is otherwise at a constant velocity. Determine how long it takes in seconds for her to run the length of the running track. O 14 11 19 15 16 18. Previous Page Next Page Page 8 of 14
9. A student took 15 minutes to cycle from his house to school. He starts from rest and reaches a maximum speed of 4.0 m s¹ in 5.0 minutes at constant acceleration. After reaching the maximum speed, he decelerates uniformly to 2.0 m s¹ in 3.0 minutes and continues cycling with this speed for 5.0 minutes. He then took 2.0 minutes to decelerate uniformly to stop. (i) (ii) Sketch a labelled graph of speed versus time for the whole journey. Calculate the acceleration of the bicycle for the time segments of 0-5 minutes and 13-15 minutes. [ 0.013 m s -²,-0.017 ms -²] (iii) Determine the total distance from his house to school. [ 1860 m ]
A bike from rest t=0, speeds up with a constant acceleration 0f 1.54 for 6 seconds. Then with the same uniform speed for another 6 seconds when it speeds up to a constan acceleration of 2.13 until it reaches a speed of 20.0 ms. 1.How long does it take for the bike to reach 20.0 2. Whag is its total displacement?
inm s 3. An object slides from rest down a regular, sloped surface. Its positions from the starting point, at intervals of 0.2 s, are given in the table below: Time (s) 0.0 0.2 0.4 0.6 0.8 Displacement (m) 0.0 0.03 o0.13 0.30 0.53 a) Calculate the acceleration. b) Determine the displacement of the object after a further 0.2 seconds.
A ball starts from rest and accelerates at 0.5(H) m/s2 while moving down an inclined plane 9.00 m long. When it reaches the bottom, the ball rolls up another plane, where it comes to rest after moving 15.0 m on that plane. (a) What is the speed of the ball at the bottom of the first plane? (b) During what lime interval does the ball roll down the first plane? (c) What is the acceleration along the second plane? (d) What is the balls speed 8.00 m along the second plane?
a car moving on a straight road with a=6-2t (0<t<6 ,containing 0 and 6);in t=0 the displacement and velocity are 3m and 8m/s. a)what is maximum velocity? (whole time interval 0 until 6) b)the car, how much goes far in t=0 until t=6?
1. Killer whales at Sea World routinely jump 7.5m above the water. What is their speed as they leave the water to achieve this?
here is my problem, I need help: One simple model for a person running the 100 mm dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.1 m/sm/s in 2.64 ss , what will be his total time? Express your answer in seconds.