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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![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 ms¹ 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 ≤ t ≤ 26.
(iii) Show that, for 20 ≤ t ≤ 26,
s = 0.375t² 13t+ 202.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70035ad6-5922-43d6-bdf5-b0d7efc5d044%2F705fba8e-5ed0-4ce8-bd87-76f3d6a404c1%2Fn5ehevi_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 ms¹ 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 ≤ t ≤ 26.
(iii) Show that, for 20 ≤ t ≤ 26,
s = 0.375t² 13t+ 202.
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