A is ball thrown off of a roof has a path that can be modelled by the equation h = -3(t - 2)^2 + 75, where 'h' represents the height of the ball in metres, and 't' represents the time in seconds.   a) determine the maximum height of the ball and when the ball reaches the max height.  b) From what height was the ball initially thrown?  c) When will the ball hit the ground?  d) Sketch the graph.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A is ball thrown off of a roof has a path that can be modelled by the equation h = -3(t - 2)^2 + 75, where 'h' represents the height of
the ball in metres, and 't' represents the time in seconds.
 
a) determine the maximum height of the ball and when the ball reaches the max height. 
b) From what height was the ball initially thrown? 
c) When will the ball hit the ground? 
d) Sketch the graph. 
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