Revision Quiz | Kinematics for JEE & BITSAT Exams

Question 1

Two skaters

and

are skating towards each other. Skater

throws a ball towards

every 5 s such that it always leaves her hand with speed 2 ms^-1 with respect to the ground. Consider two cases:
(I)

runs with speed 1 ms^-1 towards

while

remains stationary.
(II)

runs with speed 1 ms^-1 towards

while

remains stationary.
Note that irrespective of speed of

, ball always leaves

’s hand with speed 2 ms^-1 with respect to the ground. Ignore gravity. Balls will be received by

Question 2

Two cars A and B are traveling in a straight line.
From the starting point, the distance of A as a function of time x(t)= at - bt² with a= -6 m/s and b= 3.5 m/s², the distance of B from starting point is y(t)= -ct² - dt³ with c= 4.5 m/s² and d= 1 m/s³ . Initially, if car B was ahead, then find the time when the cars at the same point?

Question 3

A car of mass 500 Kg (Include driver's mass) moving from London to Paris. If the car covers 36 m, 38 m, 40m, 42 m in 20^th s, 22^th s, 24^th s, and 26^th s respectively. Then the car starts

Question 4

A particle moves along a circular arc of radius R making an angle of θ at centre. The magnitude of displacement is -

Question 5

Particle A moves along X-axis with a uniform velocity of magnitude 10 m/s. Particle B moves with uniform velocity 20 m/s along direction making an angle of 60°with the position direction of X-axis as shown in the figure. The relative velocity of B with respect to that of A is

Question 6

The velocity-time graph for two bodies A and B are shown. Then the acceleration of A and B are in the ratio
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Question 7

A football rolls off the top of a stair with a horizontal velocity 10√5 ms^-1. If the height of each step is 0.75m and the width is 5 m then what will be the value of n, if the ball hits the edge of nth step?

Question 8

A projectile is fired at an elevation of 30ᵒ and with an initial speed of 20 ms^-1 as shown in diagram. What will be its velocity and the angle when it hits the ground back?

Question 9

A projectile is projected from the edge of an inclined plane which is at an inclination of 45ᵒ from the ground, with the velocity ‘u’ at an angle ‘θ’ which is greater than 45ᵒ with the horizontal in a vertical plane. What will be the value of ‘tanθ’ if the projectile strikes the plane normally?

Question 10

A man of mass 60 kg climbs a rope of length 15 m suspended below a balloon of mass 650 kg. The balloon is stationary with respect to the ground. If the man begins to climb up the rope at the speed 15 m/s (relative to the rope) in an upward direction and with what speed (relative to ground) with the balloon move.

Question 11

A motorboat covers a given distance in 6 hours moving downstream on ariver. It covers the same distance in 10 hours moving upstream. The time it takes to cover the same distance in still water is

Question 12

Let AB be a vector in two dimension plane with magnitude 4 units, and making an angle of 60 º with horizontal and lying in first quadrant. Find the vector AB

Question 13

The sum of two forces acting at a point is 16N. If the resultant force is 8N and its direction is perpendicular to minimum force, then the force are -

Question 14

The five sides of a regular pentagon are represented by vectors

and

, in cyclic order as shown. Corresponding vertices are represented by

, and

, drawn from the centre of the pentagon.

Then,

Question 15

If $Description: E:\WBJEE\2010\WBJEE-2010_Physics_files\image008.png$ and a + b = c, then the angle included between $Description: E:\WBJEE\2010\WBJEE-2010_Physics_files\image009.png$ and $Description: E:\WBJEE\2010\WBJEE-2010_Physics_files\image010.png$ is