Question
The velocity v of a particle in a time to is given by the equation v=10+2t^2 . Find the instantaneous acceleration after 5seconds
Answers
GPT 3.5
To find the instantaneous acceleration, we need to take the derivative of the velocity equation with respect to time.
Taking the derivative of v=10+2t^2 with respect to time t, we get:
a = d/dt(10+2t^2)
= 0 + 4t
= 4t
To find the instantaneous acceleration after 5 seconds, we substitute t=5 into the acceleration equation:
a = 4(5)
= 20
Therefore, the instantaneous acceleration after 5 seconds is 20 m/s^2.
Taking the derivative of v=10+2t^2 with respect to time t, we get:
a = d/dt(10+2t^2)
= 0 + 4t
= 4t
To find the instantaneous acceleration after 5 seconds, we substitute t=5 into the acceleration equation:
a = 4(5)
= 20
Therefore, the instantaneous acceleration after 5 seconds is 20 m/s^2.