SOLUTION: 6. A ball is thrown vertically upward with an initial velocity of 48 feet per second. The ball started from a height of 8 feet off the ground.
a. At what time will the rocke
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Question 720469: 6. A ball is thrown vertically upward with an initial velocity of 48 feet per second. The ball started from a height of 8 feet off the ground.
a. At what time will the rocket reach the maximum height? ______________
b. What is the maximum height the ball will reach? _______________
d. Where will the ball be after three seconds? _____________
e. What is the equation for the axis of symmetry? ________________________
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The effect of gravity pulling down is ft/sec2
The effect of upward initial velocity is ft/sec
The hight off the ground adds ft
---------------------------------
The equation is
(a) The maximum height is at for
a parabola ( which this is ), when the form of the
equation is
So, at t = 1.5 sec, the height is a maximum
-------------------
(b)
Plug back into the equation to find
The max height is 44 ft
--------------------
(d)
In 3 sec, the ball will be
In 3 sec, the ball will be 8 ft off the ground again
---------------------
(e)
The axis of symmetry is a vertical line, and every
point on that line has the same x-value, so
the equation for this line is
Here's the plot of the equation:
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