Motion Test - 9...

A bird flies for 4 s with a velocity of |t – 2| m/s in a straight line, where t = time in seconds. It covers a distance of

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

If a particle is moving with uniform velocity, its acceleration is

A point moves with uniform acceleration and v₁, v₂ and v₃ denote the average velocities in three successive intervals of time t₁, t₂ and t₃. Which of the following relations is correct?

Three particles, A, B and C are thrown from the top of a tower with the same speed. A is thrown straight up, B is thrown straight down and C is thrown horizontally. If they hit the ground with speeds V_A, V_B and V_C, respectively, which of the following relations holds true?

A balloon starts rising from the ground with an acceleration of 1.25 m/s². After 8s, a stone is released from the balloon. The stone will

An electron starting from rest has a velocity that increases linearly with time, i.e. v = Kt, where K = 2 m/s². The distance covered in the first 4 sec will be

The initial velocity of a particle moving along a straight line is 20 m/s and its retardation is 2 m/s². The distance moved by the particle in the fifth second of its motion is

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

A car travelling at a speed of 40 km/hr is brought to a halt in 8 m by applying brakes. If the same car is travelling at 60 km/hr, it can be brought to a halt with the same braking force in

Two bodies of different masses say 5 kg and 15 kg are dropped simultaneously from a tower. Which of the following statements is correct?

If a light and a heavy body are released from the same height in vacuum,

The relative velocity of car A with respect to car B is 20√2 m/s due north-east. The velocity of car B is 20 m/s due south. The relative velocity of car C with respect to car A is 20 m/s due north. The speed of car C and the direction (in terms of the angle it makes with the east) is:

Two particles are projected simultaneously in the same vertical plane from the same point, but with different speeds and at different angles to the horizontal. The path followed by one as seen by the other is:

A swimmer crosses a flowing stream of width b to and fro in time T₁. The time taken to cover the same distance up and down the stream is T₂. If T₃ is the time that the swimmer takes to swim a distance 2b in still water, then

A 200 m long train is moving northwards at a speed of 20 m/s. A parrot flying towards south with a speed of 5 m/s crosses the train. The time taken by the parrot to cross the train will be

A steam boat goes across a lake and comes back (i) on a quiet day when the water is still, and (ii) on a rough day when there is a uniform current so as to help the journey onward and to impede the journey back. If the speed of the launch, on both days, was same, the time required for the complete journey on the rough day, as compared to that on the quiet day, will be

Which of the following graphs represents motion with uniform velocity?

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

A motor is making 1200 RPM. Calculate its angular velocity.