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.
A. Y= -6.08(t-2.5)^2 +59
B. y = -6.08(t - 4)^2 + 95
C. y = -0.38(t - 4)^2 + 95
D. y = -0.38(t - 2.5)^2 + 59

Second question
A short stop makes an error by dropping the ball. As

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.
A. Y= -6.08(t-2.5)^2 +59
B. y = -6.08(t - 4)^2 + 95 
C. y = -0.38(t - 4)^2 + 95 
D. y = -0.38(t - 2.5)^2 + 59 

Second question
A short stop makes an error by dropping the ball. As

anonymous · Answer

One way to solve the first one is to take the derivative of your first position function, find out what the maxiumum is using critical numbers, then add 59 feet to that (call this value Max 1).  Then take the derivative of each of the answers a-d, find the maximums, and see which one each is equal to Max 1.