Mathematics In Physics Test - 8

A particle moving along a straight line according to the law x = At + Bt² + Ct³, where x is its position measured from a fixed point on the line and t is the time elapsed till it reaches position x after starting from the fixed point. Here A, B and C are positive constants.

If the velocity of a particle moving on x-axis is given by v = 3t² − 12t + 6. At which time is the acceleration of particle zero?

Momentum of a body moving in a straight line is p = (t² + 2t + 1) kg m/s. Find the force acting on a body at t=2 sec

A particle moves along straight line such that at time t its position from a fixed point O on the line is x = 3t² − 2. The velocity of the particle when t=2 is:

Coordinates of a moving particle are given by x = ct² and y = bt². The speed of the particle is given by

The x and y components of vector are 4m and 6m respectively. The x, y components of vector  are 10m and 9m respectively. The length of is ______ and angle that  makes with the x axis is given by _______.

A particle travels with speed 50 m/s from the point (3, 7) in a direction  Find its position vector after 3 seconds.

If  is a vector and x is a non-zero scalar, then which of the following is correct?

The vector which is collinear with the vector and satisfies the condition  is-