Question

A catapult is malfunctioning and not throwing objects in the intended manner. The builders have modeled the path of the objects thrown by using thefollowing parametric equations. Rewrite the parametricequations by eliminating the parameter.x(t)=2t-1 y(t)=sqrt t;t>0

Answer 1

Explanation

Given the parametric equations

$\begin{gathered} y\left(t\right)=\sqrt{t};t\ge0----(1) \\ x\left(t\right)=2t-1------(2) \end{gathered}$

From equation 1 make isolate t

$\begin{gathered} y=\sqrt{t} \\ square\text{ both sides} \\ y^2=t \\ t=y^2 \\ \\ \end{gathered}$

Substitute the above in equation 2

$x(t)=2y^2-1\text{ y}\ge0$

Answer: Option D