3.3-3.4_Review

# A determine the position and velocity functions for

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(a) Determine the position and velocity functions for the coin. (b) Determine the average velocity of the interval [1, 2]. (c) Find the instantaneous velocities at t = 1 and t = 2. (d) Find the time required for the coin to reach ground level. (e) Find the velocity of the coin at impact. 4. Use the position function s(t) = -4.9t 2 + v o t + s o for free-falling objects. A projectile is shot upward from the surface of Earth with an initial velocity of 120 meters per second. a. What is the velocity after 5 seconds? After 10 seconds? b. Determine the acceleration at any given time. c. What is the highest point that the projectile reaches?

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5. A particle moves along a horizontal line according to graph of s(t). (s is in cm. and t is in seconds) a) When is particle at rest? b) When does particle move left? c) When does particle move right? d) Graph the velocity. e) Graph the speed. f) Graph the acceleration.
Find dx dy for each function. SIMPLIFY. 6. y = 5 2 x 7 - 6 3 x 7. y = 3 x - 5 3 2 x 6.________________________ 7.________________________ 8. y = 2 5 7 3 x x - + 9. y = (5x 2 – 4)(3 + x 7 ) 8. _________________________ 9. __________________________ 10. 2. y = 5 3 3 x + 2 2 x + 3 2 x + 11 11. y = (x 4 - 4 1 x )(x 2 + 2) 10. ___________________________ 11. ___________________________ 12. y = 1 4 1 2 3 3 2 + + - x x x 13. y = 3 x (5x 3 – 9x 2 + 3)

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12. ___________________________ 13. ___________________________ 14. A particle moves along a horizontal line according to s(t) = -1/3t 3 + t – 2/3, where t ≥ 0 , s is in cm and t is in seconds. a. What is the particles displacement in the first 5 seconds? b. What is the particles average velocity in the first 5 seconds? c. When is the particle moving (a) left? (b) right? (c) standing still? d. When is the particle (a) speeding up? (b) slowing down? e. Sketch the particle path along a coordinate line and describe the motion.
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