The position of a point in time ' `t` ' is given by `x=1+2t+3t^(2)`and `y=2-3t+4t^(2)` then its acceleration at time ' `t` ' is

The position of a particle is given by x=7+ 3t^(3) m and y=13+5t-9t^(2)m , where x and y are the position coordinates, and t is the time in s. Find the speed (magnitude of the velocity) when the x component of the acceleration is 36 m//s^(2) .

The coordinates of a moving particle at any time t are given by, x = 2t^(3) and y = 3t^(3) . Acceleration of the particle is given by

The position of a body moving along x-axis at time t is given by x= (t^(2)-4t+6)m . The velocity of the body at time t = 3s is

The x and y co-ordinates of a partilce at any time t are given by: x=7t+4t^(2) and y=5t The acceleration of the particle at 5s is:

The distance s of a particle in time t is given by s=t^3-6t^2-4t-8 . Its acceleration vanishes at t=

The position of a particle along X-axis at time t is given by x=2+t-3t^(2) . The displacement and the distance travelled in the interval, t = 0 to t = 1 are respectively

The coordinates of a moving particle at any time t are given by x = alpha t^(3) and y = beta t^(3) . The speed of the particle at time t is given by

The angular position of a particle revolving about an axis is given by Ɵ(t) = t^2 - 3t + 4 radian. Find the acceleration of the point at time t = 2 s. Given radius of circular path is 1 m

A particle is moving in a straight line. Its displacement at time t is given by s(I n m)=4t^(2)+2t , then its velocity and acceleration at time t=(1)/(2) second are

The x and y coordinates of a particle at any time t are given by x=7t+4t^2 and y=5t , where x and t is seconds. The acceleration of particle at t=5 s is