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Chapter 10: Q 159 (page 1207)

A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=-16t2+v0t+8to determine how many seconds it will take for the bullet to hit the ground .Thatis,whenh=0

Short Answer

Expert verified

Therefore, it will take 70 seconds for the bullet to hit the ground.

Step by step solution

01

Given information 

The given statement states that a bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet.

02

Use the formula h=-16t2+v0t+8we need to find time when bullet hit the ground .As we know when bullet hit the ground height would be 0.v=1120 feet per second h =0 feet

Substitute the values

0=-16t2+1120t+8

role="math" localid="1649951505233" so,wesolvefort
03

Using Quadratic formula

t=-1120卤11202-4-1682-16Simplifyt=70.007seconds,t=-0.007seconds[notpossibletotakenegative]

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