A ball is thrown from an initial height of 1 meter with an initial upward velocity of 20 m/s. The ba

Antoine Hill

Antoine Hill

Answered question

2022-05-29

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 20 m/s. The ball's height h (in meters) after t seconds is given by:
h = 1 + 20 t 5 t 2
Find all values of t for which the ball's height is 6 meters.

Answer & Explanation

stormsteghj

stormsteghj

Beginner2022-05-30Added 11 answers

We know that
h = 1 + 20 t 5 t 2
And h = 6 meters

Thus,
6 = 1 + 20 t 5 t 2
5 t 2 20 t + 5 = 0
t 2 4 t + 1 = 0
t = ( 4 ) ± ( 4 ) 2 4 × 1 × 1 2 × 1
= 4 ± 16 4 2
= 4 ± 12 2
= 4 ± 2 3 2
= 4 ± 3
t 1 = 4 + 3 and t 2 = 4 3
Thus, t = 0.268 , 3.732

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