A ball is thrown upwards and its height, h metres, above ground after t seconds is given

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A ball is thrown upwards and its height, h metres, above ground after t seconds is given by h = 1 + 4t – 5t².

a. From what height was the ball projected?

b. Write an expression for the velocity of the ball at time t.

c. When is the ball instantaneously at rest?

d. What is the greatest height reached by the ball?

e. After what length of time does the ball hit the ground?

f. Sketch the graph of h against t.

g. At what speed is the ball travelling when it hits the ground?

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