2.16 Velocity and Acceleration

By the end of your studying, you should know:
Onscreen applet instructions:
The position of a pickup truck traveling on the xaxis is shown at time t. Use the slider to change t, and observe the relationship between the position curve x(t), velocity curve v(t), and the direction of travel of the truck.
ExamplesA golfer on the moon (where gravitational acceleration equals 1.67 m/sec^{2}) hits a ball whose initial velocity in the vertical direction is 30 meters per second. What is the maximum height the ball reaches?A meteoroid falling to Earth is discovered when it is at an altitude of 9000 kilometers, traveling at a velocity of 70 kilometers per second. Assuming acceleration due to Earth's gravity is constant, and neglecting air resistance, how fast will the meteoroid be falling when it hits the ground? What will its acceleration be? You drop a rock off Quechee Gorge Bridge and it hits the water below about 3.2 seconds later. Approximately how high is the bridge?
VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 2.16 Velocity and Acceleration (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications

2.15 Antiderivatives and Initial Value Problems  Table of Contents  2.17 Related Rates 
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel