Question

The equation of motion of a particle is s = t^4 - 4 t, where s is in meters and t is in seconds. Assuming that t ge 0, answer the following questions
Find the velocity v as a function of t.
Answer: v(t) =
2. Find the acceleration a as a function of t.
Answer: a(t) =

3. Find the acceleration after 2 seconds.
Answer (in m/s^2): a(2) =

4. Find the acceleration when the velocity is 0.
Answer (in m/s^2): a =

Answer 1

v(t) = s'(t) = 4t^3 - 4
a(t) = v'(t) = 12t^2
a(2) = 12 (2^2) = 48

When v(t) = 0
t^3 = 1
t = 1
a(1) = 12 (1^2) = 12

Answer 2

on the money thank you

Answer 3

No problem ^^