CALC 4.5 pg316­ 13&15.notebook
February 20, 2012
13.Velocity and Acceleration
An airplane taking off from a runway travels 3600 feet before lifting off. The airplane starts from rest, moves with constant acceleration, and makes the run in 30 seconds. With what speed does it lift off?
Feb 24­7:31 AM
1
CALC 4.5 pg316­ 13&15.notebook
February 20, 2012
15.Velocity and Acceleration
A ball is thrown vertically upward from ground level with an initial velocity of 96 feet per second. Acceleration due to gravity is a(t) =­32 ft/sec2
(a) How long will it take the ball to rise to its maximum height?
(b) What is the maximum height?
(c) When is the velocity of the ball one­half the initial velocity?
(d) What is the height of the ball when its velocity is one­half the initial velocity?
Feb 24­7:49 AM
2
CALC 4.5 pg316­ 13&15.notebook
February 20, 2012
pg 306: #113
Finish problem for Homework
Feb 20­7:40 AM
3
CALC 4.5 pg316­ 13&15.notebook
February 20, 2012
13.Velocity and Acceleration
An airplane taking off from a runway travels 3600 feet before lifting off. The airplane starts from rest, moves with constant acceleration, and makes the run in 30 seconds. With what speed does it lift off?
or (0,0)
a= 8ft/sec
Remember: 2 acceleration is constant in this problem
Still need to find speed
v(t)= (8ft/sec2)(t)
Remember:
Lift off occurred when t=30sec
Remember: speed = v(t) speed at lift off is 240 ft/sec Feb 24­7:31 AM
4
CALC 4.5 pg316­ 13&15.notebook
February 20, 2012
15.Velocity and Acceleration
A ball is thrown vertically upward from ground level with an initial velocity of 96 feet per second. Acceleration due to gravity is a(t) =­32 ft/sec2
(a) How long will it take the ball to rise to its maximum height?
(b) What is the maximum height?
(c) When is the velocity of the ball one­half the initial velocity?
(d) What is the height of the ball when its velocity is one­half the initial velocity?
Feb 24­7:49 AM
5