Physics - Kinematics Question with Solution | TestHub

The hodograph is a plot of the velocity of a body on the $xy$-plane. The velocity vector of the body is drawn to scale such that its starting point is the origin. To illustrate the definition of a hodograph, we consider the case of a projectile projected under the influence of gravity. Initially, the particle is moving at an angle $\theta$ to the horizontal with a velocity ${\vec{v}}_0$ as shown. As time passes, its velocity changes under the influence of constant acceleration $\vec{g}$. By the equation of motion, we can state $\vec{v}={\vec{v}}_0+\vec{g}t$. Note that $\vec{g}t$ is always vertically downward. Here, this velocity vector is drawn at three successive seconds. At the end of three seconds, the velocity vector in this case becomes horizontal, which means that the body has reached its highest point. The trajectory is more difficult to work with because it is parabolic in shape.