SOLUTION: Suppose I shot a rocket into the sky from a completely flat field and I was able to measure that the rocket reached a maximum height of 144 ft after 3 seconds. At the time of blast

Question 973477: Suppose I shot a rocket into the sky from a completely flat field and I was able to measure that the rocket reached a maximum height of 144 ft after 3 seconds. At the time of blast-off (time 0) the rocket was 0 feet high because it was on the ground.
1. given these two pieces of info find the formula for the height of the rocket at any time t. Note path of rocket is a parabola. Is this standard form or should it be vertex form?
2. When does the model breakdown or no longer apply?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Suppose I shot a rocket into the sky from a completely flat field and I was able to measure that the rocket reached a maximum height of 144 ft after 3 seconds. At the time of blast-off (time 0) the rocket was 0 feet high because it was on the ground.
1. given these two pieces of info find the formula for the height of the rocket at any time t. Note path of rocket is a parabola. Is this standard form or should it be vertex form?
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The formula commonly used on Earth for projectiles is
h(t) = -16t^2 + vt + h0 where v = launch speed and h0 = launch height.
It's a parabola.
Use whatever form is convenient.
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h(3) = -16*9 + v*3 = 144
v = 96 ft/sec
For this example, h(t) = -16t^2 + 96t
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2. When does the model breakdown or no longer apply?
When it's a rocket, which has thrust and not just a projectile.
Why is this called a rocket?
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