Answer each of the following five questions in the most complete and concise manner possible please

1) An object has a position (in metres) given by the expression s(t) = t³- 4t²+ 5, where t is measured in seconds.What is the velocity function?

2) A projectile is launched with a velocity of 30 m/s at 40 to the ground.To two decimal places, what is its horizontal velocity in m/s?

3) If the velocity function v(t) of an object is at its maximum, then the value of a(t), its acceleration, is?

4) What function measures the rate of change of distance?

5) A ball is thrown downward from the top of a 20 m tall building with an initial velocity of 15 m/s.What equation could be used to model its height, h(t)?