A ball's position in meters after $t$ seconds is $x=12t$ and $y=-4.9t^2+19.6t+1.5$. Where is the ball at $t=2$ seconds?

A launched object has position in meters $x=7t+2$ and $y=-5t^2+20t+3$ after $t$ seconds. What is its position at $t=3$ seconds?

A projectile's horizontal and vertical positions, in meters, are $x=15t$ and $y=-4.9t^2+14.7t$. Find its position at $t=2$ seconds.

A toy rocket has position in meters $x=4t+1$ and $y=-2t^2+10t+2$ after $t$ seconds. Where is it at $t=4$ seconds?

A ball moves with position in meters $x=9t-3$ and $y=-3t^2+18t+1$. What is its position after $1$ second?

A projectile has position in meters $x=3t$ and $y=-4.9t^2+19.6t$. At what time does it return to the ground?

A launched object has position in meters $x=5t$ and $y=-2t^2+12t+1$. At what time does it reach its greatest height?

A ball's position in meters is $x=2t$ and $y=-5t^2+20t$. When does the ball land on the ground after launch?

A projectile has position in meters $x=7t$ and $y=-3t^2+18t+2$. When does it reach the top of its path?

A rider moves in a circle with position in meters $x=5\cos \left(\frac{\pi }{3}t\right)$ and $y=5\sin \left(\frac{\pi }{3}t\right)$. How long does one complete trip take?

A sensor travels around a circular path in meters: $x=8\cos \left(\frac{\pi }{5}t\right)$ and $y=8\sin \left(\frac{\pi }{5}t\right)$. What is the period of its motion?

A particle moves around a circle with position in meters $x=3\cos \left(\frac{2\pi }{3}t\right)$ and $y=3\sin \left(\frac{2\pi }{3}t\right)$. How many seconds are in one lap?

A point travels in a circle in meters according to $x=7\cos (\pi t)$ and $y=7\sin (\pi t)$. What is the time for one full revolution?

A drone's position in meters after $t$ seconds is $x=6t+2$ and $y=8t-1$. What is its speed?

An object has position in meters $x=-5t$ and $y=12t+4$ after $t$ seconds. Find its speed.

A vehicle's position in meters is $x=9t$ and $y=-12t$. What is the vehicle's speed?

Use the graph. A robot starts at point S and, each second, makes the move shown by arrow d. Which equations model its position after $t$ seconds, in meters?

A ball begins at $(5,1)$ meters, moves right at $3$ meters per second, and has vertical position affected by gravity with initial upward velocity $12$ meters per second. Which model gives its position after $t$ seconds?

Use the graph. A point starts at S and moves around the circle in the direction of arrow v, completing one revolution every $8$ seconds. Distances are in meters. Which parametric model fits the motion?

Use the graph. A drone starts at point S and, each second, makes the move shown by arrow d. Which parametric equations describe its position after $t$ seconds, in meters?