The function h(t)= 2 + 50t -1.862t^2, where h(t) is the height in metres and t is the time in seconds, models the height of a golf ball above the planet Mercury's surface during its flight.

Question

What is the maximum height reached by the ball? My answer is 341.35
How long will the ball be above the surface of Mercury? My answer is 13.5 seconds
Are my answers correct?

Answer 1

Max height - yes, we got approximately the same answer

Time - the time you got is the time where the ball reached the maximum height. The question asks for the total time (the time the ball is above the surface of Mercury), therefore you should multiply it by 2, so it would account for the time it falls back on the ground.

Hope this helps~ `u`