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A ball is thrown from an initial height of 2 feet with an initial upward velocity of 23 ft/s. The ball's height h (in feet) after t seconds is given by the following: h= 2+23t-16t^2. Find all values of t for which the ball's height is 10 feet.

Respuesta :

The value of t at height 10 feet is 0.145076 or 1.29242.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x,  ax²+bx+c=0 with a ≠ 0 .

Given:  h(t)=-16t²+23t+7

From function, let h(t)=10

10=-16t²+23t+7

-16t²+23t+7-10=0

-16t²+23t-3=0

Using discriminant method

t=[-b±√(b^2-4ac)]/2a

a=-16, b=23, c= -3

thus

t=[-23±√(23²-4(-16)-3))]/(-16*2)

we get,

t=0.145076 or 1.29242.

Learn more about this concept here:

https://brainly.com/question/10198615

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