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Ball A is projected vertically upwards at a velocity of 16m.s-¹ fron the ground. ignore the effects of air friction. use the ground as zero reference. a) calculate the time taken by ball A to return to the ground. b) draw a velocity time graph for ball A​

User Nanquim
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1 Answer

1 vote

Answer: 3.26 s

Step-by-step explanation:

Given

The ball is projected upward with a velocity
u=16\ m/s

Using the equation of motion


s=ut+(1)/(2)at^2

Here, displacement is zero as the ball returns to its initial position


\Rightarrow 0=16* t-0.5* g* t^2\\\Rightarrow t(16-0.5* 9.8* t)=0\\\text{i.e.}\ t=(16)/(4.9)=3.26\ s

the velocity of the ball at any instant is given by


v=u+at\\v=16-9.8t

Ball A is projected vertically upwards at a velocity of 16m.s-¹ fron the ground. ignore-example-1