Motion Test - 3...

Let the velocity and acceleration of a body be denoted by v and a, respectively. Which of the following relations holds true?

The displacement-time graphs for two particles A and B are straight lines inclined at angles of 30° and 60° with the time axis, respectively. What is the ratio of the speeds v_A and v_B, respectively?

A tennis ball is dropped so that it falls vertically on the floor and bounces again. Taking velocity upwards as positive, which of the following graphs best represents the variation of its velocity v with time t?

A car is moving along a straight road with uniform acceleration. It passes through two points P and Q with velocities 30 km/hr and 40 km/hr, respectively. What is the velocity of the car mid-way between P and Q?

A ball is thrown upwards with a velocity v. It attains a height of 50 m and comes back to the thrower. Which of the following statements is correct?

With what speed should a body be thrown upwards so that the distances travelled in the 5^th second and 6^th second are equal?

A ball is released from the top of height h metres. It takes T seconds to reach the ground. Where is the ball at T/2 second?

Water droplets fall at regular intervals from a roof. At an instant, when a droplet is about to fall, what will be the ratio of separation between 3 successive droplets below the roof?

A person has covered a certain distance with average velocity of 20 m/s. First 1/3^rd of the total distance is covered within 2/3^rd of the total time with velocity v₁ and the rest of the distance is covered with velocity v₂ in 1/3^rd of the total time, then v₁ and v₂ are (in m/s)

A car is moving in a straight line whose velocity-time graph is given.



What is the displacement of the car in first 10 seconds?

An object is moving along the straight line with acceleration along negative x-axis, then

A balloon initially at rest, starts moving upwards with a constant acceleration of 2 m/s². A ball is dropped from the balloon after 10 seconds of flight. Maximum height attained by the ball during the motion is (g = 10 m/s²)

A small ball is dropped from the balloon moving vertically upwards at a speed of 10 m/s when the balloon is at a height of 15 m from the ground. Neglect air friction and take g = 10 m/s². Which of the following is suitable for the present situation?

A launch takes 3 hrs to go downstream from point A to B and 6 hrs to come back to A from B. The time taken by the launch to cover the same distance downstream when its engine cut-off is

A car driver travelling with a uniform velocity of 2 m/s notices a railway level crossing at a distance of 435 m from him.And also he notices that it is going to be closed in 10 seconds. First he decides to cross the level crossing; hence, he accelerates his car at the rate of 2 ms^-2 for 5 seconds. Then he decides to stop the car. So he applies brake and stops the car exactly before the level crossing (without following the timer). Calculate the minimum rate at which he has to decelerate the car so that he stops the car exactly before the level crossing.

If the area under given velocity-time graph can be changed into acceleration-time graph, then which one of the given options represents acceleration-time graph:

A balloon is moving up from the ground in such a way that its acceleration is linearly decreasing with its height above the ground. It starts from the ground with an acceleration of 4 m/s² and with zero initial velocity. Its acceleration becomes zero at a height of 3 m. The speed of the balloon at a height of 1.5 m is

What is the ratio of the average speed for the first two seconds to the average speed for the next four seconds?

A body is moving in a circle, as shown in the figure, starting from point A in the clockwise direction.


It completes one cycle in 20 sec.

What will be the average velocity as it starts from A and reaches C after completing two cycles?

If a particle is thrown above, then the correct v-t graph will be