An explosion causes debris to rise vertically with an initial speed of 88 feet per second. The formula h=-16t^2+88t describes the height of the debris above the ground, h, in feet, t seconds after the explosion. When will the debris be 40 feet above the ground?The debris will be 40 feet above the ground after____ seconds?

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Asked Sep 11, 2019
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An explosion causes debris to rise vertically with an initial speed of 88 feet per second. The formula h=-16t^2+88t describes the height of the debris above the ground, h, in feet, t seconds after the explosion. When will the debris be 40 feet above the ground?

The debris will be 40 feet above the ground after____ seconds?

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Expert Answer

Step 1

Given,

 

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h -16t 88

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Step 2

Substituting h = 40 feet in the given equatio...

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40 1688t 16 88t 40 = 0 - 8(2 115)= 0 2t2-11t5 0 2f-10 +5 0 21 (5)-15) 0 (2-1)(5)0 2t 1 0 or t-5 =0 1 or t5 2 t

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