SOLUTION: A model rocket is launched (from the ground s0=0) with an initial velocity (V0) of 320 ft./sec.
a. Find the Position equation for the rocket
b. How high did the rocket get? (find
Question 820472: A model rocket is launched (from the ground s0=0) with an initial velocity (V0) of 320 ft./sec.
a. Find the Position equation for the rocket
b. How high did the rocket get? (find the y coordinate of the vertex)
c. How long did the rocket take to reach its maximum height? (find the x coordinate of the vertex)
d. How long did the rocket take to return to earth?
e. How fast was the rocket going when it hit the ground?
I am very lost on this Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! (a)
The equation is:
This is a parabola with a maximum that
begins at ( x,y ) = ( 0,0 )
The squared term is entirely the
effect of gravity pulling the rocket down
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(b)
The x-coordinate of the vertex is at
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To find the y-coordinate of the vertex, plug
this value of back into the equation
The maximum height is 1600 ft
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(c)
The rocket took 10 sec to reach the maximum height
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(d)
You have to find out when the height, ,
is zero again, so you have to find both roots
The rocket took 20 sec to come back to earth
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(e)
The velocity when it hit the ground is the same as it
was at takeoff, 320 ft/sec
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Here's a plot of the equation:
