A particle of mass $m$ is projected from the origin with an initial velocity $vec{v}_0 = v_0 \cos heta hat{i} + v_0 \sin heta hat{j}$, where $ heta$ is the angle of projection. If the particle experiences a uniform gravitational field with acceleration $vec{g} = -g hat{j}$, find the equation of the trajectory of the particle in the $xy$-plane.

Question

A particle of mass $m$ is projected from the origin with an initial velocity $vec{v}_0 = v_0 \cos 	heta hat{i} + v_0 \sin 	heta hat{j}$, where $	heta$ is the angle of projection. If the particle experiences a uniform gravitational field with acceleration $vec{g} = -g hat{j}$, find the equation of the trajectory of the particle in the $xy$-plane.

Accepted Answer

y = x 	an 	heta - \frac{g}{2v_0^2}x^2

Post Utme Christopher University 2017 Physics Question 31

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