Chapter 6, Problem 8PS

(a)

To determine

To determine: The circumstances which will be appropriate to use each of the two models which are represented by two sets of parametric equations that models the projectile motion are $x_1=\left(v_0\cos \text{θ}\right)t,y_1=\left(v_0\sin \text{θ}\right)t$ and $x_2=\left(v_0\cos \text{θ}\right)t,y_2=h+\left(v_0\sin \text{θ}\right)t-16t^2$.

(b)

To determine

To determine: The set of equation by eliminating parameter from the parametric equations of the projectile motion $x_1=\left(v_0\cos \text{θ}\right)t,y_1=\left(v_0\sin \text{θ}\right)t$ and $x_2=\left(v_0\cos \text{θ}\right)t,y_2=h+\left(v_0\sin \text{θ}\right)t-16t^2$.

(c)

To determine

The case in which the path of the moving object will not be affected by a change in the velocity $v$ for the two models of parametric equations that models the projectile motion are $x_1=\left(v_0\cos \text{θ}\right)t,y_1=\left(v_0\sin \text{θ}\right)t$ and $x_2=\left(v_0\cos \text{θ}\right)t,y_2=h+\left(v_0\sin \text{θ}\right)t-16t^2$.