Parametric equations in modelling Quiz

1. A boat is at $(3,1)$ at $t=0$ and $(11,13)$ at $t=4$, moving at constant velocity. Which gives its position?

• A. $x=3+2t,\ y=1+3t$
• B. $x=3+8t,\ y=1+12t$
• C. $x=11+2t,\ y=13+3t$
• D. $x=2+3t,\ y=3+t$

2. A particle has velocity $(5,12)$. What is its speed?

• A. $17$
• B. $13$
• C. $7$
• D. $60$

3. A ball has $x=8t$, $y=6t-5t^2$. At what time does it land?

• A. $t=0.6$
• B. $t=1$
• C. $t=1.2$
• D. $t=0.3$

4. A point moves with $x=10\cos(2t)$, $y=10\sin(2t)$. What is the period of the motion?

• A. $2\pi$
• B. $4\pi$
• C. $\frac{\pi}{2}$
• D. $\pi$

5. Two objects have positions $(2t,\ 4)$ and $(8-2t,\ 4)$ at time $t$. At what time do they collide?

• A. $t=1$
• B. $t=4$
• C. $t=2$
• D. They never collide