John stands on the roof of a building and throw a ball upwards. The balls height above the ground is given by the formula: h= -3t + 12t + 15, where h is the height in meters and t is the seconds after the ball is thrown. Round off your answers to the nearest tenth place value.  a) How high is John above the ground when he throws the ball?  b) Find the height above the ground of the ball 1 second after the ball is thrown? c) How long does it take for the ball to reach the maximum height?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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John stands on the roof of a building and throw a ball upwards. The balls height above the ground is given by the formula: h= -3t + 12t + 15, where h is the height in meters and t is the seconds after the ball is thrown. Round off your answers to the nearest tenth place value. 

a) How high is John above the ground when he throws the ball? 

b) Find the height above the ground of the ball 1 second after the ball is thrown?

c) How long does it take for the ball to reach the maximum height?

d) Find the maximum height above the ground reached by the ball?

e) How long does it take for the ball to hit the ground? 

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