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 $h = - 16 t^{2} + v_{0} t + 8$ to determine how many seconds it will take for the bullet to hit the ground . $(T h a t i s, w h e n h = 0)$

Short Answer

Expert verified

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

Step by step solution

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.

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

$0 = - 16 t^{2} + 1120 t + 8$

role="math" localid="1649951505233"

so, we solve for t

Using Quadratic formula

$t = \frac{- 1120 \pm \sqrt{{(1120)}^{2} - 4 (- 16) (8)}}{2 (- 16)} Simplify t = 70.007 seconds, t = - 0.007 s e c o n d s [n o t p o s s i b l e t o t a k e n e g a t i v e]$

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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 $h = - 16 t^{2} + v_{0} t + 8$ to determine how many seconds it will take for the bullet to hit the ground . $(T h a t i s, w h e n h = 0)$

Short Answer

Step by step solution

Given information

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

Using Quadratic formula

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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

Step by step solution

Given information

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

Using Quadratic formula

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Logic and Functions

Mechanics Maths

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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 $h = - 16 t^{2} + v_{0} t + 8$ to determine how many seconds it will take for the bullet to hit the ground . $(T h a t i s, w h e n h = 0)$