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The position vector of a particle changes with time according to the relation r(t)=15t² î+ (4 – 20t²)j What is the magnitude of the acceleration at t = 1

The position of a particle as a function of time t, is given by x(t) = at + bt²- ct³ where a, b and e are constants. When the particle attains zero acceleration, then its velocity will be

A ball is thrown upward with an initial velocity v0 from the surface of the earth. The motion of the ball is affected by a drag force equal to mYv² where m is mass of the ball, u is its instantaneous velocity and y is a constant). Time taken by the ball to rise to its zenith is

A particle is projected with velocity v0 to along x-axis. A damping force is acting on the particle which is proportional to the square of the distance from the origin ie, ma = – ax² The distance at which the particle stops

A particle is moving with speed v = b√x along positive x-axis. Calculate the speed of the particle at time t =t (assume that the particle is at origin at t = 0 )

A particle starts from the origin at 10 with an initial velocity of 3.01 m/s and moves in the x-y plane with a constant acceleration (6.0 î +4.0 j )m/s². The x-coordinate of the particle at the instant when its y-coordinate is 32 m is D meters. The value of D is:

A particle is moving along the x-axis with its co-ordinate with time t given by x(t) = 10 + 8t – 3t² Another particle is moving along the y-axis with its co-ordinate as a function of time given by y(t) = 5 – 8t³ At t = 1s the speed of the second particle as measured in the frame of the first particle is given as √v Then v (in m / s ) is

A ball is dropped from the top of a 100 m high tower on a planet. In the last 1/2 s before hitting the ground, it covers a distance of 19 m. Acceleration due to gravity (in ms-²) near the surface on that planet is

The distance x covered by a particle in one dimensional motion varies with time tas x² = at² + 2bt +c. If the acceleration of the particle depends on x as x^-n where n is an integer, the value of n is…

If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph

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