Question

I have no idea how to do this question. Would be appreciated if someone help =)

The velocity of a car is given by v(t)=60(1-[0.7]^t), where v is measured in m/s and t is measured in s. Determine the following:

a)What is the acceleration function?

b) What is the accerlation at t=2s?

c)What is the initial velocity?

d)What is the time at which the accleration is 3m/s^2?

Answer 1

first get the derivative of the function, that would be the acceleration function, for part b plug 2 in the function and find the acceleration. for part c use the formula v = v_0 + a * t, at t = 2 the velocity v will be 30.6 form the original equation, then plug in those two values as well as the acceleration found in part b and find v_0 form this equation. For part d use the formula that i gave you again, but this time plug in v, v_0 which you found and a, and find the time.