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Test on Motion in a Straight Line

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Question 1

A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x-direction with a constant speed. The position of the first body is given by x1(t) after time t and that of the second body by x2(t) after the same time interval. Which of the following graphs correctly describes (x1 – x2) as a function of time t ?

Question 2

A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity υ that varies as υ= α. The displacement of the particle varies with time as

Question 3

An automobile traveling with a speed of 60 km/h, can brake to stop within a distance of 20 m. If the car is going twice as fast, i.e 120 km/h, the stopping distance will be (in metres)

Question 4

Water drops are falling from a water tap at a regular interval of one second; such that when first drop reaches the ground, the fourth drop just leaves the water tap. Find height of water tap.
[g = 10 m/s2]

Question 5

A ball is thrown from the top of the Qutab-Minar 200 ft. high with a velocity 80 ft. per second at an elevation of 30 ° above the horizon. The horizontal distance from the foot of the minar to the point where it hits the ground is : (g = 32 ft. sec2)
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Aug 14JEE & BITSAT