Please Hep Me !!! Toney tossed a coin off a 20-foot bridge. The path of the coin's height can be modeled by the equation.

h(t)=−16t^2+40t+20
What is the maximum height of the coin?

Question options:

87 feet


45 feet


10 feet


20 feet

Respuesta :

The maximum height of the coin is; B: 45 ft

What is the maximum height?

We are given the formula to model the path of the coin's height as;

h(t) = -16t² + 40t + 20

Maximum height will occur at t = -b/2a from axis of symmetry of a parabola. Thus;

t = -40/(2 * -16)

t = 1.25 s

Thus;

h_max = -16(1.25²) + 40(1.25 + 20

h_max = 45 feet

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