Chapter 10, Problem 73RE

Suppose that the origin on a computer screen is at the lower left comer of the screen. A target moves along a straight line at a constant speed from point $A\left(52,410\right)$ to point $B\left(412,140\right)$ in $3\text{ sec}$ .

a. Write parametric equations to represent the target's path as a function of the time $t$ (in sec) after the target leaves its initial position. All distances are in pixels.

b. Where is the target located $0.8\text{ sec}$ after motion starts?

c. Suppose that a bullet is fired from a gun at a position of $\left(212,150\right)$ . Suppose the bullet travels with uniform speed where both the horizontal component of velocity and vertical component of velocity is $40$ pixels per second in the positive direction. Write parametric equations to represent the path of the bullet.

d. If the bullet leaves the gun at the same time that the target begins its motion, will the bullet hit the target? If so, when and where?