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Synthesis Problems 57 exercises EI. A steel ball is dropped from a diving platfo

ID: 1863857 • Letter: S

Question

Synthesis Problems 57 exercises EI. A steel ball is dropped from a diving platform (with an initial velocity of zero). Using the approximate value of g-10m's a, what is the velocity of the ball 0.6 seconds after its EIO. Suppose that the gravitational acceleration on a certain planet is only 3.0 m/s?. A space explorer standing on this planet throws a ball straight upward with an initial velocity of 18 ms a. What is the velocity of the ball 4 seconds after it is b What is its velocity 1.2 seconds after its release? For the ball in exercise 1, a?Through, what distance does the ball fall in the first thrown? E2. b. How much time elapses before the ball reaches the high point in its flight? 0.6 seconds of its flight? (Assume g 10 m's) b. How far does it fall in the first 1.2 seconds of its flight? EIL A bullet is fired horizontally with an initial velocity of E3. A large rock is dropped from the top of a high cliff. Assum- 900 m/s at a target located 150 m from the rifle. a. How much time is required for the bullet to reach the ing that air resistance can be ignored and that the acceleration has the constant value of 10 m/s, how fast would the rock be traveling 5 seconds after it is dropped? What is this speed in MPH? (See inside front cover for coeversion factors) Suppose Galileo's pulse rate was 80 beats per minute. a. What is the time in seconds between consecutive pulse h. Using the approximate value of g 10 m/'s, how far does bullet fall in this time? E12. A ball rolls off a shelf with a horizontal velocity of 6 m/'s. E4. At what horizontal distance from the shelf does the ball land if it takes 0.4 s to reach the floor? E13. A ball rolls off a table with a horizontal velocity of 4 m/s. If b. How far does an object fall in this time when dropped it takes 0.5 seconds for the ball to reach the floor, how high ES. A ball is thrown downward with an initial velocity of 12ms. E14. A ball rolls off a table with a horizontal velocity of 5 m/s.If a. What is the vertical component of the ball's velocity just b. What is the horizontal component of the ball's velocity from rest? above the floor is the tablesop? (Useg 10 m/s) Using the approximate value of g 10 m/s, what is the velocity of the ball 1.0 seconds after it is released? it takes 0.6 seconds for it to reach the floor, E6. A ball is dropped from a high building. Using the approxi- before it hits the floor? (Useg 10 ms) mate value of -10 m/s', find the change in velocity between the first and fourth seconds of its flight. just before it hits the floor? E7. A ball is thrown upward with an initial velocity of 14 m/s. A bull rolls off a plastform that is 5 meters above the The ball's horizontal velocity as it leaves the platfoem is 6 m's Using the approximate value of g 10 m/s, what are the a. How much time does it take for the hall to hit the ground? b. How far from the base of the platfoem does the ball hit the E16. A projectile is fired at an angle such that the vertical com- magnitude and direction of the ball's velocity a. I second after it is thrown? (Sce example box 3.3, use g -10 m/s) b. 2 seconds after it is thrown? ground? E8. How high above the ground is the ball in exercise 7 a. 1 second after it is thrown? b. 2 seconds after it is thrown? ponent of its velocity and the horizontal component of its a. Using the approximate value of g 10 m/s, how long b. What horizontal distance does the ball travel in this time? velocity are both equal to 30 m/s E9 At what time does the ball in exercise 7 reach the high point in its flight? (Use the approximate value of g 10 m/s and remember that the velocity is equal to zero at the high point) does it take for the ball to reach its high point? synthesis problems b. How far has each ball dropped in 1.3 seconds? c. Does the difference in the velocities of the two balls SPI. A ball is thrown straight upward with an initial velocity of 16 m/s. Use g 10 m/s for compatations listed here. a. What is its velocity at the high point in its motion? b. How much time is required to reach the high point? c. How high above its starting point is the ball at its highpoint d. How high above its starting point is the ball 2 seconds change at amy time after their release? Explain. SP3. Two balls are rolled off a tabletop that is 08 m above the floor. Ball A has a horizoatal velocity of 3 ms and that of a. Assumingg-10 m/s, how long does it take each ball h. How far does each ball travel horizontally before hitting c. If the two balls started rolling at the same time at a point ball B is 5 m/s. after i to reach the floor after it rolls off the edge? e. Is the ball moving up or down 2 seconds afier it is released? SP2. Two balls are released simultancously from the top of a tall building. Ball A is simply dropped with no initial velocity, and the ball B is thrown downward with an initial velocity of 12 m/s. a. What are the velocities of the two balls 1.3 seconds after 1.2 m behind the edge of the table, will they reach the floor at the same time? Explain.

Explanation / Answer

As its not specified that which problem to solve, I supposed that it must be E11 as it comprises of two encircle.

E11.

a. Time taken = horizontal distance to cover/ horizontal speed

= 150/900

t= 0.167 seconds

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b.

Vertical distance covered in this time period

S = 0.5 gt^2

= 0.5* 9.8* 0.167^2