2. Find the minimum velocity with which a Stone in to be projected in order to hit a Target at 20m away?
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Answer:
7 i + 7 j m/s is the minimum velocity with which the stone should be profected
Explanation:
The formla for horizontal range is: R =
where u is the speed of projection and θ is the angle of projection
Thus more maximum value of sin2θ we get the minimum value of u for a constant range.
in our case the range is 20m and the maximum value of sin2θ is 1 for θ= pi/4
so
u=
u=
u= 14m/s (minimum speed)
u= 7 i + 7 j (minimum velocity)
Thus we obtain the minimum speed and velocity.
Hope this helps!!!
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