PROJECTILE MOTION WORD PROBLES WORKSHEET

Problem 1 :

A rock is dropped from a 100 foot tower. The height of the rock as a function of time can be modeled by the equation: h(t) = -16t² + 100. How long does it take for the rock to reach the ground?

Solution

Problem 2 :

A rock is dropped on the surface of Mars from a height of 100 feet. The height of a falling rock as a function of time since it was dropped on Mars can be modeled by the equation: h(t) = -6.5t² + 100. How long does it take for the rock to hit the surface of Mars?

Solution

Problem 3 :

A ball is thrown from ground level upward at an initial velocity of 60 ft/sec. What is the ball's maximum altitude? The equation for "projectile motion" is h(t) = -16t² + 60t. 

Solution

Problem 4 :

A ball is thrown upward from the surface of Mars with an initial velocity of 60 ft/sec. What is the ball's maximum height above the surface before it starts falling back to the surface? The equation for "projectile motion" on Mars is: h(t) = -6.5t² + 60t

Solution

Problem 5 :

A rock is thrown upward from ground level with an initial velocity of 50 feet/sec. When will the rock hit the ground? Projectile motion can be modeled by the equation: h(t) = -16t² + 50t.

Solution

Problem 6 :

A rock thrown upward from the surface of Mars with an initial velocity of 50 feet per second. The height of a rock can be modeled by the: h(t) = -6.5t² + 50t. How long does it take the rock to fall back to the surface of Mars?

Solution

Problem 7 :

A rock is thrown upward from the top of a 25 foot tower with an initial upward velocity of 100 ft/sec. The height of a rock above the ground as a function of time can be modeled by the equation: h(t) = -16t² + 100t + 25. How long does it take for the rock to:

a) reach its maximum height?

b) fall back to the ground?

Solution

Problem 8 :

A rock is thrown downward with an initial downward velocity of 50 ft/sec from the top of a 1000 foot skyscraper. The height of a falling rock as a function of time can be modeled y the equation: h(t) = -16t² + 50t + 1000. How long does it take for the rock to hit the street below? 

Solution

Problem 9 :

A rectangle with a width of (5x + 2) feet and a length of (2x - 1) feet has an area of 100 square feet. What is the rectangle's width and length?

Solution

Problem 10 :

A rectangle with a width of (2x + 5) feet and a length of (3x - 1) feet has an area of 250 square feet. What is the rectangle's width and length?

Solution