Velocity and acceleration consider a velocity vector given

Question

Velocity and acceleration: consider a velocity vector given in standard unit vector form in rectangular Cartesian coordinates as:

v^→(t) = (3t⁴i^ + 7t^5/2j^ + 5e^2tk^)m/s

a. What is the acceleration at 2 seconds?

b. What is the displacement at 5 seconds?

c. What is the angle between the displacement and the acceleration at t=2.0s?

d. What is the velocity of the vector at 2 seconds?

e. What is the magnitude of the displacement at 5 seconds?