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Q.

A  stone is projected vertically upwards with a speed of 29.4 m/s from the top of a tower of height  78.4 m. Then the time taken by it to reach the ground is……… g=9.8 m/s2

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a

2s

b

8s

c

4s

d

1s

answer is B.

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Detailed Solution

Given that     h=78.4m u=29.4m/s∴ The height of the tower is  h=12gt2−ut⇒78.4=12×9.8×t2−29.4t⇒8=t22−3t⇒t2−6t−16=0∴ on solving t=8s
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A  stone is projected vertically upwards with a speed of 29.4 m/s from the top of a tower of height  78.4 m. Then the time taken by it to reach the ground is……… g=9.8 m/s2