In between two hills of height of 100m and 92m respectively there is a valley of breadth 16m if a vehicle jumps from the first hill to the second what must be its minimum horizontal velocity so that is may not fall into the valley .Take g=9ms
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Explanation:
the above problem can be solved as
horizontal distance to be travelled is Sy 100 - 92= 8m
vertical distance to be travelled Sx = 16m
let vx be the horizontal velocity =constant here
now vertical sistance equation is Sy=ut+12 gt2
where u is vertical initial velocity
t is time taken to travel 8m i.e., reaching time to land second hill
as vertical initial velocity is 0
so above equation can be written as for time t,
t=2XSyg
so t= 2x89.8 sec.
so t = 1.277 sec.
now taking horizontal distance as Sx= vx X t
16= vx X 1.277
on solving above we get minimum horizontal velocity required to land on second hill as Vx= 12.52 m/sec
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