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= 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

Text Solution

Verified by Experts

Average velocity `=("displacement of the particle")/("time taken") =(x(t=6x)-(t=3s))/((6-3)s) =((a+36b)-(a+9b))/(3)`
`=(27b)/(3) =(27xx3.5)/(3) =31.5" ms"^(-1)`
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 = 6m and b =3.5 ms^(-2) , t is measurved in seconds. Find. Velocity of the particle at t = 0 and t = 3s

The position of an object moving along x -axis is given by x=a+bt^(2) where a=8.5m,b=2.5ms^(-2) and t is measured in seconds.What is its velocity at t=0s and t=2.0s. What is the average velocity between t=2.0s and t=4.0s?

The position of an object moving along x-axis is given by a+bt^(2) , where a=8.5 m and b= 2.5m//s^(2) and t is measured in seconds. The average velocity (in m/s) of the object between t=2s and t=4s is

The displacement of a particle moving along an x axis is given by x=18t+5.0t^(2) , where x is in meters and t is in seconds. Calculate (a) the instantaneous velocity at t=2.0s and (b) the average velocity between t=2.0s and t=3.0s .

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 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

The position (in meters) of a particle moving on the x-axis is given by: x=2+9t +3t^(2) -t^(3) , where t is time in seconds . The distance travelled by the particle between t= 1s and t= 4s is m.

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 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

. If the velocity of a particle is (10 + 2 t 2) m/s , then the average acceleration of the particle between 2s and 5s is