An object is thrown horizontally from a height how does the time of flight and the range of the object change when the magnitude of initial velocity tripled?

1 Answer
Mar 17, 2018

When an object is thrown horizontally from constant height h with a velocity u,if it takes time t to reach the ground,considering vertical motion only,we can say,

h=12gt2 (using, h=ut+12gt2 ,hereu=0 as initially no component of velocity was present vertically)

so,t=2hg

So,we can see this expression is independent of initial velocity u,so on tripling u there will be no effect on time of flight.

now,if it went upto R horizontally in this time,then we can say,its range of motion, R=ut=2hgu (as,u remains constant through out)

So,we can see,from the above expression that, Ru

So,on tripling u range will also get tripled.
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