The boy decided to ride the terror tower. at its maximum height, the ride reaches 65m above ground. When the boy reaches the top of the tower, his gum falls out of his mouth. the height of the gum can be given by the model: h=65-4.9t^2 where t is in seconds and h in metres.

Question

The boy decided to ride the terror tower. at its maximum height, the ride reaches 65m above ground. When the boy reaches the top of the tower, his gum falls out of his mouth. the height of the gum can be given by the model: h=65-4.9t^2 where t is in seconds and h in metres. 
a)find the average velocity of the gum on the intervals 2<t<3 and 2<t<2.1 
b)find the approximate instantaneous velocity when t=2
*solve using math, not physics.

Steve · Answer

(a) (h(3)-h(2))/(3-2) and (h(2.1)-h(2))/(2.1-2) (b) dh/dt = -9.8t so plug in t=2