Key to "A ball is thrown vertically upward from the..."

College
Physics
Advanced Physics

Mollie Wise

Answered question

2022-11-24

A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is s equals negative 16 t squared plus

176 t s = - 16 t^{2} + 176 t

After how many seconds will the ball be 448 feet from the ground?

Answer & Explanation

crys07bhZ

Beginner2022-11-25Added 8 answers

When

h = - 16 t^{2} + 176 t

Then,

- 16 t^{2} + 176 t = 448 \Rightarrow 16 t^{2} - 176 t + 448 = 0 \Rightarrow t^{2} - 11 t + 28 = 0 \Rightarrow t^{2} - 7 t - 4 t + 28 = 0 \Rightarrow t (t - 7) - 4 (t - 7) = 0 (t - 4) (t - 7) = 0 t = 4 or t = 7

First time at t=3 seconds ball will be at 448 feet.

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