A ball is thrown from an initial height of 7 feet with an initial upward velocity of 30ft/s . The ball's height h (in feet) after t seconds is given by the following. h=7+30t-16t^2
Find all values of t for which the ball's height is 20 feet.
Round your answer(s) to the nearest hundredth.

t = โ€”โ€” seconds

Respuesta :

This is a parabola. 20 ft represents the height of the ball. Height is represented by the letter h. Thus you need to plug 20 into the equation for h and solve for t.

The values of t when the ball's height is 20 feet are 0.27 and 1.60

How to solve for t?

The equation is given as:

h=7+30t-16t^2

When h = 20, we have

20=7+30t-16t^2

Subtract 20 from both sides

-13 + 30t - 16t^2 = 0

Rewrite as:

-16t^2 + 30t - 7 = 0

Using a graphing tool, we have:

t = 0.27 and 1.60

Hence, the values of t when the ball's height is 20 feet are 0.27 and 1.60

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