Home
Class 12
PHYSICS
A particle is moving along x-axis. The p...

A particle is moving along x-axis. The position of the particle at any instant is given by `x = a + bt^(2)," where, "a = 6m and b =3.5 ms^(-2)`, t is measurved in seconds. Find.
Velocity of the particle at t = 0 and t = 3s

Text Solution

AI Generated Solution

To solve the problem, we need to find the velocity of the particle at two different times: \( t = 0 \) seconds and \( t = 3 \) seconds. The position of the particle is given by the equation: \[ x = a + bt^2 \] where \( a = 6 \, \text{m} \) and \( b = 3.5 \, \text{ms}^{-2} \). ...
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle is moving along x-axis. The position of the particle at any instant is given by x= a+bt^(2) where ,a= 6 m and b= 3.5 ms^(-2) 't' is measured in second .Find (i) the velocity of the particle at 1s and (ii) the average velocity between 3s and 6s

A particle moves along x -axis. The position of the particle at time t is given as x=t^(3)-9t^(2)+24t+1 . Find the distance traveled in first 5 seconds.

Position of a particle at any instant is given by x = 3t^(2)+1 , where x is in m and t in sec. Its average velocity in the time interval t = 2 sec to t = 3 sec will be :

The position of a particle moving in a string line is given by x = 3t^(3) - 18 t^(2) + 36 t Here, x is in m and t in second . Then

A particle is moving in a straight line. Its displacement at any instant t is given by x = 10 t+ 15 t^(3) , where x is in meters and t is in seconds. Find (i) the average acceleration in the intervasl t = 0 to t = 2s and (ii) instantaneous acceleration at t = 2 s.

The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

A particle moves along a straight line. Its position at any instant is given by x = 32t-(8t^3)/3 where x is in metres and t in seconds. Find the acceleration of the particle at the instant when particle is at rest.

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

The position of the particle moving along Y -axis is given as y=At^(2)-Bt^(3) , where y is measured in metre and t in second. Then, the dimensions of B are

Position of particle moving along x-axis is given as x=2+5t+7t^(2) then calculate :