At each of the locations shown, draw a vector to represent the acceleration of the ball. If you know the magnitude of the acceleration at any of the locations (for example, if the acceleration is zero, etc.), indicate that explicitly. Briefly explain why you drew the arrows as you did.
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- KEY TERMS 1. physics (intro) 2. position (2.1) 3. motion 4. scalar (2.2) 5. vector 6. average speed 7. distance 8. instantaneous speed 9. average velocity 10. displacement 11. instantaneous velocity 12. acceleration (2.3) 13. average acceleration 14. acceleration due to gravity 15. free fall 16. terminal velocity 17. centripetal acceleration (2.4) 18. projectile motion (2.5) For each of the following items, fill in the number of the appropriate Key Term from the preceding list. a. _____ Zero acceleration in free fallKEY TERMS 1. physics (intro) 2. position (2.1) 3. motion 4. scalar (2.2) 5. vector 6. average speed 7. distance 8. instantaneous speed 9. average velocity 10. displacement 11. instantaneous velocity 12. acceleration (2.3) 13. average acceleration 14. acceleration due to gravity 15. free fall 16. terminal velocity 17. centripetal acceleration (2.4) 18. projectile motion (2.5) For each of the following items, fill in the number of the appropriate Key Term from the preceding list. r. _____ Displacement/travel timeA golf ball is struck across a flat fairway at an angle of 45∘ with an initial speed of 147ft/s. a.). Write a set of parametric equations for the motion of the golf ball. b.). Determine how long the golf ball was in the air. c.). Determine how far the golf ball traveled in the air. x=v0cos(θ)t Recall, y=-1/2(g)t2+v0sin(θ)t+h g=32ft/sec/sec
- Usain Bolt starts from rest, accelerates to the right or finish line at +3 m/s2 (acceleration vector points toward the right or finish line) for the first 4 seconds, then holds a constant velocity for 5 seconds and finally decelerates at -2 m/s2 (deceleration vector points towards the starting block) until the sprinter's velocity is +3 m/s (velocity vector still points toward the right or finish line), which is the speed he maintains while running in the stadium celebrating his Olympic Gold Medal winning sprint. Sketch the acceleration versus time graph, and from this, the velocity versus time graph to determine the time at which the sprinter has decelerated to +3 m/s. Within the first 4 seconds, at what time is the sprinter's velocity +8.5 m/s (vector pointing towards the right or finish line)?A baseball is thrown such that its initial x and y components of velocity are known. Neglecting air resistance, describe (in words and equations) how you would calculate the following concepts at the instant the ball reaches the top of its trajectory: a. the ball's coordinates b. the ball's velocity c. the ball's acceleration d. How would these results change if air resistance were taken into account?From a videotape, it was observed that a pro football player kicked a football 126 ft during a measured time of 3.6 seconds. Determine the initial speed of the ball (in ft/s) and the angle at which it was kicked (in degrees). (10 pts, 5 pts each)
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