M449 Chapt 3A Position Velocity Acceleration Copy.pdf - 449 Calculus Chapter 3A Name Date_Period Position Velocity Acceleration Teacher Notes Examples 1

# M449 Chapt 3A Position Velocity Acceleration Copy.pdf - 449...

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449 Calculus Name_______________________________ Chapter 3A Date_____________________Period_____ Position, Velocity, Acceleration Teacher_____________________________ Notes: Examples: 1. Using the formula s(t) = ± 16t 2 + v 0 t + s 0 solve the following problem. A ball is tossed upward off the top of a balcony, which is 10 feet tall, at a velocity of 8 ft/sec. Find: a) The average velocity over the interval [.5, .75]. b) The instantaneous velocity at t = 1 and t = .2 . c) The acceleration at t = .2. d) Find the velocity when the ball hits the ground. e) Find the acceleration of the ball at t = .75 seconds. f) When is the ball at rest?
2. The height, s, at time, t, of a rock dropped off a 2100 foot cliff is given by s(t) = ± 16t 2 + 2100, where s and t are measured in feet and seconds, respectively.
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