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A stone thrown down with a speed u takes a time t1, to reach the ground, while another stone, thrown upwards from the same point with the same speed, takes time t2. The maximum height the second stone reaches from the ground is

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Important Questions on Rectilinear Motion

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The displacement–time graph of a moving object is shown in the figure. The velocity–time graph representing the motion of the same body is,

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A student performs an experiment to determine the acceleration due to gravity g. The student throws a steel ball up with initial velocity u and measures the height h travelled by it at different times t. The graph the student should plot on the graph paper to readily obtain the value of g is-
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A person goes from point P to point Q covering 13 of the distance with speed 10 km h-1, the next 13 of the distance at 20 km h-1 and the last 13 of the distance at 60 km h-1. The average speed of the person is
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A ball is dropped vertically from height h and is bouncing elastically on the floor (see figure). Which of the following plots best depicts the acceleration of the ball as a function of time.

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A particle starts moving along a line from zero initial velocity and comes to rest after moving distance d. During its motion it had a constant acceleration f over 23 of the distance, and covered the rest of the distance with constant retardation. The time taken to cover the distance is
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If a ball is thrown at a velocity of 45 m s-1 in vertical upward direction, then what would be the velocity profile as a function of height? Assume g=10 m s-2.