Home
Class 12
PHYSICS
Displacements is related with timet in t...

Displacements is related with timet in the equation `s = 5t^(2) + 4t + 3`. The acceleration is equal to

A

10 units

B

5 units

C

4 units

D

3 units

Text Solution

Verified by Experts

The correct Answer is:
A

If s = displaement, `(ds)/(d t)` = velocity
`(d^(2)s)/(d t^(2))` = acceleration
`s = 5t^(2) + 4t + 3`
`(ds)/(d t) = 10 t + 4 rArr (d^(2)s)/(d t^(2)) = 10` units
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle moves along a straight line such that its displacement at any time t is given by s = 3t^(3)+7t^(2)+14t + 5 . The acceleration of the particle at t = 1s is

Function of displacement x and time t is defined by equation x=2t^(3)-3t^(2)-4t+1 . Acceleration will be zero at time

If s=ae^(l) + be^(-t) is the equation of motion of a particle, then its acceleration is equal to

The displacement of a particle in time t is given by s=2t^2-3t+1 . The acceleration is

A particle moves in x-y plane according to equations x = 4t^(2)+5t and 6y=5t The acceleration of the particle must be

The displacement of a particle at time t is given by s= 2t^(3) -5t^(2)+ 4t-3 . The time when the acceleration is 14ft/ sec^(2) is

The displacement is given by x = 2t^(2) +t +5 , the acceleration at t = 2s is

The displacement s of a moving particle at a time t is given by s=5+20t-2t^(2) . Find its acceleration when the velocity is zero.