A stone thrown vertically upwards takes 3 seconds to attain maximum height, calculate

(i) initial velocity of stone


(ii) maximum height attained by the stone

Let,

u = Initial velocity of stone


H = Maximum height attained by the stone


v = final velocity at maximum height = 0


t = time taken to attain maximum height = 3 s


a = -g = acceleration due to gravity


(i) We know that,


v = u + at


0 = u – g × 3


u = 3g = 3 × 9.8 ms-2


u = 29.4 ms-1


(ii) From the equations of motion, we know that,





H = 132.3 m


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