## Related questions with answers

Question

Parker throws a ball off the top of a building. The building is 350 feet high and the initial velocity of the ball is 30 feet per second. Find out how long it will take the ball to hit the ground by solving the equation

$- 16 t ^ { 2 } - 30 t + 350 = 0$

Solution

VerifiedStep 1

1 of 2We are asked to solve the following quadratic equation

$-16t^2-30t+350=0$

Divide throughout by $-2$

$8t^2+15t-175=0$

Use the quadratic formula

$t = \dfrac{-15\pm\sqrt{15^2-4\cdot 8\cdot (-175)}}{2\cdot 8}$

$t = \dfrac{-15\pm\sqrt{225+5600}}{16}$

$t = \dfrac{-15\pm\sqrt{5825}}{16}$

Since $t$ must be positive we reject the negative solution

$t = \dfrac{-15+\sqrt{5825}}{16}\approx 3.83$

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