Question

The height h in feet of a baseball on Earth after t seconds can be modeled by the function h(t) = -16(t – 1.5)2 + 36, where -16 is a constant in ft/s2 due to Earth's gravity. The gravity on Mars is only 0.38 times that on Earth. If the same baseball were thrown on Mars, it would reach a maximum height 59 feet higher and 2.5 seconds later than on Earth. Write a height function for the baseball thrown on Mars.

Answer 1

so this equation for earth has a vertex at (1.5, 36)

so the max height is 36 ft and this occurs at t = 1.5 sec

you need to change this so that the vertex moves to t 1.5 + 2.5 and the height increases to 59 ft

Answer 2

I'd expect the value of -16 needs to be multiplied by 0.38

hope it helps