Projectile Motion and Parametric Equations

A cannonball is fired at a 45.0° angle and an initial velocity of 625 f/s. Assume no air resistance. Find the horizontal coordinate of the cannonball after 2 seconds.

• 1250 f/s

• 883.9 f/s

• 441.9 f/s

• 328.3 f/s

The height of an object can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.

What is the height of the object after 5 seconds?

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

An NFL punter at the 20 yard line kicks a football downfield with an initial velocity of 75 ft/sec at an angle of 66⁰. The ball leaves his foot at a height of 3 feet.

Model the scenario using parametric equations.

• x = (20cos(66⁰))t; y=-16t² + (20sin(66⁰)t + 75

• x = (20cos(66⁰))t; y=-16t² + (20sin(66⁰)t + 3

• x = (75cos(66⁰))t; y=-16t² + (75sin(66⁰)t + 20

• x = (75cos(66⁰))t; y=-16t² + (75sin(66⁰)t + 3

A ball is thrown horizontally at a height of 2.2 meters at a velocity of 65 m/s. Assume no air resistance. How long until the ball reaches the ground?

• 0.45 s
• 0.67 s
• 0.22 s
• 0.47 s

A ball is thrown horizontally at a height of 2.2 meters at a velocity of 65 m/s. Assume no air resistance. How far did the ball travel horizontally when it hit the ground?

• 14.3 m
• 30.55 m
• 65 m
• 43.55 m

What is the initial height of the parabola?

• h = 0.563

• h = 10.063

• h = 5

• h = 1.356

Tags

CCSS.HSF-IF.C.7A

How long does it take the parabola to reach the ground?

• t = 0.563

• t = 10.063

• t = 5

• t = 1.356

A stone is thrown off a bridge 70 feet above the water at an angle of elevations of 48 $\degree$  with an initial velocity of 40 feet per second.  Find the maximum height of the stone.

• 83.81 feet

• 84.57 feet

• 85.02 feet 

• 86.38 feet

A stone is thrown off a bridge 70 feet above the water at an angle of elevations of 48° with an initial velocity of 40 feet per second. Find the horizontal distance the stone traveled at the time it reaches the surface of the water (h = 0)

• 83.04 fett

• 83.92 feet

• 84.56 feet

• 86.18 feet

A stone is thrown off a bridge 70 feet above the water at an angle of elevations of 48 ° with an initial velocity of 40 feet per second. Find the height of the stone at the time it reaches a horizontal distance of 80 feet.

• 14.76 feet

• 15.12 feet

• 15.84 feet

• 16.22 feet