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A projectile is fired vertically upward from a height of 175175feet above the ground, with an initial velocity of 18001800ft/sec. Recall that projectiles are modeled by the function h(t)=−16t2+v0t+y0h(t)=−16t2+v0t+y0. Write a quadratic equation to model the projectile's height h(t)h(t)in feet above the ground after t seconds.

Question

A projectile is fired vertically upward from a height of
175
175
feet above the ground, with an initial velocity of
1800
1800
ft/sec. Recall that projectiles are modeled by the function
h(t)=−16
t
2
+
v
0
t+
y
0
h(t)=−16t2+v0t+y0
. Write a quadratic equation to model the projectile's height
h(t)
h(t)
in feet above the ground after t seconds.

 

check_circleAnswer
Step 1

Consider the given data.

ho =175 feet
Initial velocity (vo)=1800 feet/sec
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ho =175 feet Initial velocity (vo)=1800 feet/sec

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Step 2

The height h of a projectile above the ground after t seconds is given by

where g 32 feet/sec2 is the acceleration due to gravity which on earth
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where g 32 feet/sec2 is the acceleration due to gravity which on earth

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Step 3

Therefore, the projectile...

x 32 x
h(t)
2
1800t +175
h(t)-16xt2 1800t +175
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x 32 x h(t) 2 1800t +175 h(t)-16xt2 1800t +175

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Tagged in

Math

Algebra

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