Download presentation
Presentation is loading. Please wait.
Published byDarren Ross Modified over 9 years ago
1
Today in Precalculus Go over homework Notes: Simulating Projectile Motion Homework
2
Simulating Projectile Motion Suppose that a baseball is thrown from a point y 0 feet above ground level with an initial speed of v 0 ft/sec at an angle θ with the horizon. The initial velocity can be represented by the vector:
3
Simulating Projectile Motion The path of the object is modeled by the parametric equations: x=(v 0 cosθ)t y= -16t 2 + (v 0 sinθ)t +y 0 Note: The x-component is simply d=rt where r is the horizontal component of v 0. The y-component is the velocity equation using the y-component of v 0.
4
Example Clark hits a baseball at 3ft above the ground with an initial speed of 150ft/sec at an angle of 18° with the horizontal. Will the ball clear a 20ft fence that is 400ft away? The path of the ball is modeled by the parametric equations: x = (150cos18°)t y = -16t 2 +(150sin18°)t + 3 The fence can be graphed using the parametric equations: x = 400 y = 20
5
Example t: 0,3 x: 0,450 y: 0, 80 Approximately how many seconds after the ball is hit does it hit the wall? 400= (150cos18°)t t = 2.804 sec How high up the wall does the ball hit? y=-16(2.804) 2 + (150sin18°)(2.804)+3 = 7.178ft
6
Example What happens if the angle is 19°? The ball still doesn’t clear the fence.
7
Example What happens if the angle is 20°? The ball still doesn’t clear the fence.
8
Example What happens if the angle is 21°? The ball just clears the fence.
9
Example What happens if the angle is 22°? The ball goes way over the fence.
10
Homework Pg 531: 44,45
Similar presentations
© 2025 SlidePlayer.com Inc.
All rights reserved.