Review for Ch 1,2 and 3.0-3.3 Objectives: Speed – calculate and define, instantaneous vs average Distance – calculate and define Displacement – calculate and define Time – calculate and define Velocity – calculate and define, instantaneous vs average, final vs initial Acceleration – calculate and define. Acceleration due to gravity. Constant velocity problems, acceleration problems, and Free fall problems, graphing motion : graph and interpret graphs on distance vs time, to velocity vs tme, to acceleration vs time (constant and non-constant), calculate slope, calculate area under curves, describe graph in words and make a word description into a graph Equations: For the following questions, show the equation picked and show all work and include units in answer. 1. A ball starts at rest at the top of a ramp and begins to roll down. The floor is 5.2 meters long and it takes the ball 3.8 seconds to roll down the ramp. What is the acceleration of the ball? 2. A ball starts at rest at the top of a ramp and begins to roll down. The floor is 5.2 meters long and it takes the ball 3.8 seconds to roll down the ramp. At the bottom of that ramp the bowling ball is now moving pretty fast. Using the acceleration calculated in question 1, what is the final velocity of ball? 3. John starts running with a velocity of 0.5 m/s, but it takes him 4 seconds to get up to a full speed of 1.0 m/s. What is the rate of acceleration? 4. A ball with an initial velocity of 3 m/s is kicked on the ground and given an acceleration of 9 m/s2 so that the ball’s final velocity of 12 m/s. During this time, what is the displacement of the ball? 5. A plane with an initial velocity of 300 m/s undergoes an acceleration of 6 m/s2 for a displacement of 9000m. What is the final velocity of the plane? 6a. A dime is dropped from the top of a building. The dime takes 8.25 s to reach the ground. What is the height of the building? 6b. What is the velocity of the ball when it strikes the ground? 7a. A student riding a bicycle is traveling at 20 m/s. The student breaks and accelerates at -4 m/s2. How far does the student travel before coming to a complete stop? 7 b. How much time does it take the bicycle to come to a complete stop? 8. Grace is driving her sports car at 40m/s when a ball rolls out into the street in front of her. Grace slams on the brakes and comes to a stop in 3.0s. What was the acceleration of Grace’s car. 9. A baby blue jay sits in a tall tree awaiting the arrival of its dinner. As the mother lands on the nest, she drops a worm toward the hungry chick’s mouth, but the worm misses and falls from the nest to the ground in 1.50s. How high up is the nest? 10. Billy, a mountain goat, is rock climbing on his favorite slope one sunny spring morning. His friend is on a ledge 40.0m above him and accidentally slips and sends a rock hurtling toward him. Billy ducks and avoids injury. How fast is the rock traveling when it passes Billy? 10 b. Compare the speed of this rock to a car going 55 mi/hour. (1 meter = 0.0006 miles) 11. Given the following position vs time graphs First sketch the corresponding velocity vs time and then sketch the acceleration vs time graphs below. Determine if slope is positive, negative, zero (p vs t and v vs t graphs) Describe if constant or changing and if changing, how does it change (p vs t and v vs t graphs) Describe if direction of motion, is towards the origin or away from the origin. A. B. C. . D. E. 12. Fill in the following table vi (initial velocity) + + + or 0 0 a (acceleration) + + 0 + or 0 Overall Motion
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