Velocity & Acceleration: JEE Questions & Solutions

A particle of mass m falls from rest through a resistive medium having resistive force F=-kv, where v is the velocity of the particle and k…

A particle starts moving from time t=0 and its coordinate is given as x(t)=4t³-3t. Consider the following statements: [A.] The particle…

The position vector of a moving body at any instant of time is given as r = ( 5t² i - 5t j) m. The magnitude and direction of velocity at t…

A person travelling on a straight line moves with a uniform velocity v₁ for a distance x and with a uniform velocity v₂ for the next 3/2x…

A particle moves along the x-axis and has its displacement x varying with time t according to the equation x = c₀ (t² - 2) + c (t - 2)²…

An object with mass 500 g moves along x-axis with speed v = 4√x m/s. The force acting on the object is:

Position of an ant (S in metres) moving in the Y-Z plane is given by S = 2t² j + 5 k (where t is in seconds). The magnitude and direction…

A particle starts from origin at t = 0 with a velocity 5i m/s and moves in x-y plane under action of a force which produces a constant…

A body falling under gravity covers two points A and B separated by 80 m in 2 s. The distance of upper point A from the starting point is:

A particle is moving in a straight line. The variation of position x as a function of time t is given as x = t³ - 6t² + 20t + 15 m. The…

The relation between time t and distance x is t = α x² + β x, where α and β are constants. The relation between acceleration (a) and…

A car travels a distance of 'x' with speed V₁ and then the same distance 'x' with speed V₂ in the same direction. The average speed of the…

The distance travelled by a particle is related to time t as x = 4t². The velocity of the particle at t = 5 s is:

A tennis ball is dropped onto the floor from a height of 9.8 m. It rebounds to a height of 5.0 m. The ball comes in contact with the floor…

A horse rider covers half the distance with 5 m/s speed. The remaining part of the distance was travelled with speed 10 m/s for half the…

A vehicle travels 4 km with a speed of 3 km/h and another 4 km with a speed of 5 km/h, then its average speed is:

For a train engine moving with a speed of 20 m s⁻¹, the driver must apply brakes at a distance of 500 m before the station for the train to…

A particle starts with an initial velocity of 10.0 m/s along x-direction and accelerates uniformly at the rate of 2.0 m/s². The time taken…

At any instant the velocity of a particle of mass 500 g is (2ti + 3t²j) m s⁻¹. If the force acting on the particle at t = 1 s is (i + xj)…

A person travels x distance with velocity v₁ and then x distance with velocity v₂ in the same direction. The average velocity of the person…

A body of mass 500 g moves along x-axis such that its velocity varies with displacement x according to the calculation v = 10√x m/s the…

The distance travelled by an object in time t is given by s = (2.5)t². The instantaneous speed of the object at t = 5 sec will be:

The position of a particle related to time is given by x=(5t²-4t+5) m. The magnitude of velocity of the particle at t=2 s will be

The position vector of a particle related to time t is given by r = (10t i+15t² j+7 k) m. The direction of net force experienced by the…