A particle is moving along a projectile path where the initial height is 160 feet with an initial speed of 144 feet per second. What is the maximum height of the particle?
Answer
224 feet
272 feet
128 feet
484 feet

Question

A particle is moving along a projectile path where the initial height is 160 feet with an initial speed of 144 feet per second. What is the maximum height of the particle?
Answer
		224 feet
		272 feet
		128 feet
		484 feet

anonymous · Answer

Please post only relevant question in that group. I am closing this now. -Thanks.

anonymous · Answer

this is math

anonymous · Answer

using quadratic functions for real life scenarios

anonymous · Answer

Oh Crap! Mea culpa. Okay as I have closed this one, I will help you  with this one.

anonymous · Answer

alright

anonymous · Answer

I can see why but were not using a physics forumla I believe...  Quadratic functions are math idk about physics

anonymous · Answer

Okay, what have you tried so far?

anonymous · Answer

Assuming Earth's gravity, the formula for the flight of the particle is:

s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160.

This has a maximum when t = -b/(2a) = -144/(-32) = 9/2.

Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 ft.

I hope this helps!

anonymous · Answer

I was told if I used this forumla and plug in the variables it would work

s(t) = -16t^2 + 144t + 160

anonymous · Answer

o wow then he posts it while I was typing it

anonymous · Answer

I'm just bad at plugging in variables is all

anonymous · Answer

ZhangYan literally solved it for you ;)

anonymous · Answer

thanks ffm