Question #38283

An object is thrown horizontally from a height of 20 m with velocity 10 m s-1. Find its velocity after 1s
(g = 10 m s-2 )

Expert's answer

Answer on Question 38283, Mechanics, Kinematics, Dynamics Let us write down the equation for vertical velocity

vy=gtv_{y}=-gt

the horizontal velocity is constant, vx=vx0=constv_{x}=v_{x0}=const. Hence, total velocity after 1 second is

v=vx2+vy2=(gt)2+vx02=10+10=204.47m/sv=\sqrt{v_{x}^{2}+v_{y}^{2}}=\sqrt{(gt)^{2}+v_{x0}^{2}}=\sqrt{10+10}=\sqrt{20}\approx 4.47\,m/s

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