A deer being preyed upon by the lion runs at a speed of 9 m/s. The lion chases the deer at a speed of 10m/s. If the instantaneous separation of deer from lion is 100m, how long would it take the lion to catch the deer?
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The time taken by lion to catch the deer is 100 sec.
Explanation:
Relative Velocity: It is the time rate of change of relative position of one object with respect to another object.
⇒V₂₁=V₂-V₁
or ΔV=V₂-V₁ (Relative Velocity of lion with respect to deer)
V₂: Speed of lion
V₁: Speed of deer
∴ ΔV=(10-9)m/s
ΔV=1 m/s
As we know that ΔV=d/t
where d= distance covered ; t= time taken
⇒ t = d/ΔV
⇒t=100/1
⇒t=100 sec
Hence, The time taken by lion to catch the deer is 100sec.
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