Question #9774

A body is thrown with speed 20m/s vertically upward. It will return to thrower's hand after a time?(g=10m/s square)

Expert's answer

If it was thrown straight vertically upward it surely will

Let's find the time of flight

mv^{2}/2=mgh => h=v^{2}/2g

Also we can write that h=gt^2/2 whence t=sqrt(2h/g)

So the total time of flight T=2sqrt(2h/g)=2sqrt(2v^2/2g^2)=2v/g=2*20/10=4s

Let's find the time of flight

mv

Also we can write that h=gt^2/2 whence t=sqrt(2h/g)

So the total time of flight T=2sqrt(2h/g)=2sqrt(2v^2/2g^2)=2v/g=2*20/10=4s

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