(a) express the height, h, of the object above the ground as a function of time, t; and (b) use the expression in (a) to find the time the object hits the ground and the velocity with which it strikes the ground.

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An object is thrown vertically upwards with an initial velocity of 3 m/s from a ladder which is 5 m above ground level. Taking g to be 10 m/s/s, (a) express the height, h, of the object above the ground as a function of time, t; and (b) use the expression in (a) to find the time the object hits the ground and the velocity with which it strikes the ground.

a. h = -5 + 3t - 5t^2; t = 1.34 s; v = -10.4 m/s

b. h = 5 + 3t - 5t^2; t = 1.34 s; v = 10.4 m/s
 
c. h = -5 + 3t - 5t^2; t = 1.34 s; v = 10.4 m/s
 
d. h = 5 + 3t - 5t^2; t = 1.34 s; v = -10.4 m/s
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