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 0.4 times that on Earth. If the same baseball were thrown on Mars, it would reach its maximum height 59 feet higher and 2.5 seconds later than it did on Earth. Write a height function for the baseball thrown on Mars.

Answer 1

Which part of that function has to do with Earth's gravity?

Answer 2

the acceleration due to gravity on Earth = -16
the acceleration due to gravity on Mars = 0.4 times that on Earth

Answer 3

maximum height when slope is 0
slope of function = same as first derivative set = 0 to find at what times, t
use value of t and get height
on Mars the maximum height is 59 more than the height on Earth
on Mars the time taken to reach the maximum height is 2.5 seconds past the time on Earth

Answer 4

the Mars function is the function on Earth with the adjustments
review constant times 0.4, t + 2.5, actual height + 59

Answer 5

@chachi123: It's been a while since you posted this question. Please look over the discussion that has taken place. What do you now know, and what do you still need to learn, to finish solving this problem?