Initially, when the car passes the point P, it is moving with a constant speed of 16 ms¹. T seconds after passing P, the car begins to decelerate uniformly. 37 seconds after passing P, the car has speed 4 ms¹. At this instant, the magnitude of the car's deceleration changes. The car then decelerates uniformly until it comes to rest after a further T seconds. (a) Sketch a velocity-time graph representing the motion of the car after it passes P. (b) Find, in terms of T, the time at which the car has speed 8 ms¹. The car stops 133 metres from P. (c) Show that T=3.5.

Initially, when the car passes the point P, it is moving with a constant speed of 16 ms¹. T seconds after passing P, the car begins to decelerate uniformly. 37 seconds after passing P, the car has speed 4 ms¹. At this instant, the magnitude of the car's deceleration changes. The car then decelerates uniformly until it comes to rest after a further T seconds. (a) Sketch a velocity-time graph representing the motion of the car after it passes P. (b) Find, in terms of T, the time at which the car has speed 8 ms¹. The car stops 133 metres from P. (c) Show that T=3.5.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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