Question

A stone is thrown with an initial velocity of 12.0 m/s at an angle of 55° with the ground. The initial velocity of the stone in the x-direction is _____ and the initial velocity of the stone in the y-direction is _____.

Answer 1

Answer on Question #42112, Physics, Mechanics — Kinematics — Dynamics — for completion

Question: A stone is thrown with an initial velocity of 12.0 m/s at an angle of 55 with the ground. The initial velocity of the stone in the x-direction is ? and the initial velocity of the stone in the y-direction is ?

Solution

The initial velocity of the stone in the x-direction is

$v_{x0}=v_{0}\cdot\cos 55{}^{\circ}\approx 12\cdot 0.5736=6.882\,m/s$

The initial velocity of the stone in the x-direction is

$v_{y0}=v_{0}\cdot\sin 55{}^{\circ}\approx 12\cdot 0.8192=9.8298\,m/s$

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