An object moves along x-axis such that its position varies with time according to the relation `x=50t-5t^(2)`
Here, x is in meters and time is in seconds. Find the displacement and distance travelled for the time interval t = 0 to t = 6 s.

A particle moves along x-axis such that its position veries with time as x=50t-5t^2 . Select the correct alternative (s).

A particle moves along X-axis in such a way that its coordinate X varies with time t according to the equation x = (2-5t +6t^(2))m . The initial velocity of the particle is

A particle moves along x - axis in such a way that its x - co - ordinate varies with time according to the equation x=4-2t+t^(2) . The speed of the particle will vary with time as

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 position of a particle varies with time according to the relation x=3t^(2)+5t^(3)+7t , where x is in m and t is in s. Find (i) Displacement during time interval t = 1 s to t = 3 s. (ii) Average velocity during time interval 0 - 5 s. (iii) Instantaneous velocity at t = 0 and t = 5 s. (iv) Average acceleration during time interval 0 - 5 s. (v) Acceleration at t = 0 and t = 5 s.

A body moves along x-axis such that its displacement varies with time as given, x=7 + 3t + 5t^2 . The average velocity during 3rd second is

A particle starts moving rectilinearly at time t=0 such that its velocity v changes with time t according to the equation v=t^(2)-t , where t is in seconds and v in s^(-1) . Find the time interval for which the particle retards.

A particle is moving along x-axis. Its X-coordinate varies with time as, X=2t^2+4t-6 Here, X is in metres and t in seconds. Find average velocity between the time interval t=0 to t=2s.

A particle is moving along x-axis such that its velocity varies with time according to v=(3m//s^(2))t-(2m//s^(3))t^(2) . Find the velocity at t = 1 s and average velocity of the particle for the interval t = 0 to t = 5 s.

The position x of a particle varies with time t according to the relation x=t^3+3t^2+2t . Find the velocity and acceleration as functions of time.