Question

The velocity (feet per second) of an object is given by the equation v = 3(2t + 1)0.4.

What is the equation for the acceleration of the object?
What is the equation for the displacement of the object? The displacement is initially 25 feet.
What are the values of the displacement, velocity and acceleration at time t = 2 seconds?

Answer 1

assuming the velocity is as written,
a = 3(2) = 6

If you meant 3(2t+1)^0.4, then
a = 2.4/(2t+1)^0.6

as usual,
s = 25 + 1/2 at^2
= 25 + 3t^2
or
= 25 + 1.2(2t+1)^1.4

just plug in your values.

Answer 2

Where did the 25 come from?