16t power of 2 help

Question

the expression 16t to the power of 2 is used to find the distance in feet that an object has fallen t seconds after being dropped. When dropping a rock off a 512 foot cliff, how many more feet does it fall in 4 seconds than in 3 seconds.

Answer 1

h(t) = -16t^2 + 512

h(4) = -16(4)^2 + 512

h(3) = -16(3)^2 + 512

h(4)- h(3) = -16(4)^2 - -16(3)^2 = -112

112 feet for the 1 second from 4 to 3 seconds