Quadratics equations

Question

Josh is standing on the top of a building that is 425 feet tall. He throws a penny up into the air with an initial velocity of 32 ft/sec. Which equation models the situation?

Answer 1

If you have no idea about the equations:

1) feet: s(t) = -16t² + v₀t + h₀, where v₀ is initial velocity and h₀ is initial height

2) meter: s(t) = -4.9t² + v₀t + h_0, where v₀ is initial velocity and h₀ is initial height

-16 and -4.9 are related to gravity.

So, in this case, you will use 1) formula (feet).

s(t) = -16t² + v₀t + h₀ = -16t² + 32t + 425,

since the top of a building that is 425 feet tall = initial height, initial velocity of 32 ft/sec

Answer 2

s(t) = height (in feet) of the penny at time t seconds

s(t) = -16t² + 32t + 425