Question

An object thrown in the air on a planet in a distant galaxy is at height
s(t) = -20t^2 +67t +42 feet at time t seconds after it is thrown.


a) From what height was the object thrown?

b) With what velocity was the object thrown?

c) What is the acceleration due to gravity on this planet?

Answer 1

a) sub in t=0 into s(t)

b) find the derivative to get velocity

c) find the derivative of velocity to get acceleration.
You will get a constant.