Question

Derivative Applications in Motion and Economics

Velocity and Acceleration

A ball is dropped from at height of 100 ft. One second later another ball is dropped from a height of 75 ft. which one hits the ground first?

Answer 1

alright this is the way I did it. I graphed on the ti these two equations (y=-16t^2+100, and y=-16t^2+75) the one from 75 ft crosses the x axis closer to the point of origin so i'm going with that one hitting the ground faster

Answer 2

or you could solve for t in
\[-16t^2+100=0\] and
\[-16t^2+75=0\]
then add 1 to the second answer and compare it to the first