# an explosion causes debris from the ground to rise vertically with an initial velocity of 160 feet per second. what is the speed of debris when the height is 300 feet?

### James

Guys, does anyone know the answer?

get an explosion causes debris from the ground to rise vertically with an initial velocity of 160 feet per second. what is the speed of debris when the height is 300 feet? from EN Bilgi.

## An explosion causes debris to rise vertically with an initial velocity of 160 feet per

An explosion causes debris to rise vertically with an initial velocity of 160 feet per second. In how many seconds does it attain maximum height? i know i need to use the formula: y(t)=-16t^2+Vot + yo Have: vo=160 Yo= is what i am trying to find and i dont know how to solve for time

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## Calculus

An explosion causes debris to rise vertically with an initial velocity of 160 feet per second.

In how many seconds does it attain maximum height?

i know i need to use the formula:

y(t)=-16t^2+Vot + yo

Have: vo=160

Yo= is what i am trying to find

and i dont know how to solve for time

👍 👎 👁 🚩

**Roger**

Feb 23, 2017 so you know:

height = -16t^2 + 160t + 0 , zero, since we started at ground level

This is a downwards opening parabola, so it has a maximum at its vertex.

What method have you learned to find the vertex, there are several ways.

simplest way in this case:

find the x-intercepts, then find the midpoint

h = -16t^2 + 160t = -16t(t - 10)

so the intercepts are 0 and 10,

then half-way time is 5 seconds

👍 👎 🚩

**Reiny**

Feb 23, 2017

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Transcribed Image Text:An explosion causes debris from the ground to rise vertically with an initial velocity of 160 feet per second. What is the speed of debris when the height is 300 feet? A. 60 ft/sec B. 48 ft/sec C. 80 ft/sec D. 64 ft/sec E. 92 ft/sec F. None of these

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Guys, does anyone know the answer?