A coin is tossed upward from a balcony 228 ft high with an initial velocity of 32 ft/sec. During what interval of time will the coin be at a height of at least 100 ft?

Lucille Douglas

Lucille Douglas

Answered question

2022-09-07

A coin is tossed upward from a balcony 228 ft high with an initial velocity of 32 ft/sec. During what interval of time will the coin be at a height of at least 100 ft?

Answer & Explanation

Everett Mclaughlin

Everett Mclaughlin

Beginner2022-09-08Added 16 answers

In the given case we have v 0 = 32 ,   h 0 = 228 and we want to find the time t, when the height, h is atleast 100 feet. Hence we have the below
100 = 16 t 2 + 32 t + 228 16 t 2 32 t 228 + 100 = 0 16 t 2 32 t 128 = 0 t 2 2 t 8 = 0 t 2 4 t + 2 t 8 = 0 t ( t 4 ) + 2 ( t 4 ) = 0 ( t + 2 ) ( t 4 ) = 0
Thus t =-2 or t=4. We cannot have time as negative. Hence t=-2 is discarded. Thus t=4. Time t=0 is when the coin intially starts. Hence the correct answer is 0 t 4

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