Question

A ball thrown in the air has a height of y = - 16x² + 50x + 3 feet after x seconds. a) What are the units of measurement for the rate of change of y? b) Find the rate of change of y between x = 0 and x = 2?

Answer 1

a)
`ms^(-1)`

b)
`71ms^(-1)`

Solution:

a)

we are finding the derivative from position to velocity thus

units =
`ms^(-1)`

b)

`m=(y(2)-y(0))/(2-0)=(139+3)/(2)=71ms^(-1)`