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A person is standing at -3 location on t...

A person is standing at -3 location on the number line. He runs to and fro from -3 to +5 location 5 times. How much distance has he covered if he comes back to -3 location at the end?
a) 35 units
b) 7 units
c) 30 units
d) 40 units

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
`H=1m,h=0.5m`
Applying law of conservation of Energy for point A and B
`mg H=1/2 mv^2+mgh`
`rarr g-(1/2)v^2=0.5g`
`rarr v^2=2(g-0.5g)=g`
`rarr v=sqrt(g)=3.1m/s`
After pointg B the body exhibits projectile motion for which
`theta=0`
`y=-0.5`
So, -0.5=4.9xxt^2`
`rarr t=0.31sec`
So, `x(v costheta)t`
`=3.1xx0.31=1m`
So the practile will hit the ground at a horizontal distance m from B.
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