3. A particle P travels in a straight line from A to D, passing through the points B and C. For the section AB the velocity of the particle is (0.5t - 0.01t²) ms ¹, where t s is the time after leaving A. (i) Given that the acceleration of P at B is 0.2ms-2, find the time taken for P to travel from A to B. The acceleration of P from B to C is constant and equal to 0.2 ms-². (ii) Given that P reaches C with speed 15 ms-¹, find the time taken for P to travel from B to C. P travels with constant deceleration 0.2 ms-² from C to D. Given that the distance CD is 300 m, find (iii) the speed with which P reaches D, (iv) the distance AD.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 84A
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3. A particle P travels in a straight line from A to D, passing through the points B and C. For the section AB the
velocity of the particle is (0.5t - 0.01t²) ms¯¹, where t s is the time after leaving A.
(i) Given that the acceleration of P at B is 0.2ms-2, find the time taken for P to travel from A to B.
The acceleration of P from B to C is constant and equal to 0.2 ms ².
(ii) Given that P reaches C with speed 15 ms-¹, find the time taken for P to travel from B to C.
P travels with constant deceleration 0.2 ms ² from C to D. Given that the distance CD is 300 m, find
(iii) the speed with which P reaches D,
(iv) the distance AD.
Transcribed Image Text:3. A particle P travels in a straight line from A to D, passing through the points B and C. For the section AB the velocity of the particle is (0.5t - 0.01t²) ms¯¹, where t s is the time after leaving A. (i) Given that the acceleration of P at B is 0.2ms-2, find the time taken for P to travel from A to B. The acceleration of P from B to C is constant and equal to 0.2 ms ². (ii) Given that P reaches C with speed 15 ms-¹, find the time taken for P to travel from B to C. P travels with constant deceleration 0.2 ms ² from C to D. Given that the distance CD is 300 m, find (iii) the speed with which P reaches D, (iv) the distance AD.
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