1 / 11

Projectile Motion

Projectile Motion. Projectile Motion. We are going to launch things, and then find out how they behave. Review. Projectile Motion Function . x=time y=height a= downward acceleration due to gravity: -4.9 m/ or -16 ft / = initial upward velocity =initial height in meters or feet. .

mira
Download Presentation

Projectile Motion

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Projectile Motion

  2. Projectile Motion We are going to launch things, and then find out how they behave

  3. Review Projectile Motion Function. • x=time • y=height • a= downward acceleration due to gravity: -4.9 m/ or -16 ft/ • = initial upward velocity • =initial height in meters or feet.

  4. Question 1 • To find Max height and time: • Convert to vertex form (use completing the square) • Recall: and

  5. Question 2 • Find when it hits the ground: • Use the general quadratic and plug 0 in for y. and solve using the quadratic formula.

  6. Question 3 • Find when it will reach the original height it was dropped from. • Plug original height in for y, then factor.

  7. Example • A person stands on top of a 150 ft tower, and shoots a gun into the air. The bullet leaves the gun at a velocity of 250 feet per second. The height of the bullet after t seconds is given by • a. What is the maximum height of the bullet? • b. How long after shooting the gun does it reach its maximum height? • c. When will the bullet hit the ground, potentially leading to some poor strangers death?

  8. Problem 1 • A ball is thrown upward from the top of a tower at a velocity of 80 feet per second. The tower is 200 feet high. The height of the ball after t seconds is given by a. What is the maximum height of the ball? b. How long after throwing the ball does it reach its maximum height? c. When will the ball hit the ground?

  9. Problem 2 A ball is thrown up in the air with initial velocity of 64 feet per second. a. Write a formula modeling the height of the ball after time t in seconds. b. What is the height of the ball after 1.5 seconds? c. What is the maximum height, and how many seconds will it take to reach its maximum height? d. How many seconds will pass before it returns to the ground?

  10. Problem 3 • The data below represents the height of a rocket shot from 150 ft above the ground. It travels at a velocity of 50 m/sec. • a. Find the quadratic equation that models this data. • b. What is the maximum height the rocket will reach and how long will it take to get there? • c. When will the rocket return to Earth?

  11. Problem 4 • Sara stands on the balcony of her apartment and throws a tennis ball at an initial upward velocity of 18 m/s. She releases the ball at an initial height of 50m from the ground. Use the projectile motion formula to answer the following questions. • When does the tennis ball hit the ground? • When does the ball return to the height of 50m? • What is the maximum height reached by the ball? When does it reach this height?

More Related