In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is 1.24 m. The mug slides off the counter and strikes the floor 0.20 m from the base of the counter. (a) With what velocity did the mug leave the counter? m/s (b) What was the direction of the mug's velocity just before it hit the floor? ° (below the horizontal)
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- A projectile is launched with speed v at an angle of ?2 above the horizontal going to a maximum height NH=4.08 H.The projectile is then launched with the same initial speed but an angle of ?1 above the horizontal going to a maximum height H.Please derive the ratio of the total time of flight of the projectile as the time for launch at angle ?2 to that time at angle ?1.A hot-air balloonist, rising vertically with a constant velocity of magnitude 5.00 m>s, releases a sandbag at an instant when the balloon is 40.0 m above the ground (Fig. E2.44). After the sandbag is released, it is in free fall. (a) Compute the position and velocity of the sandbag at 0.250 s and 1.00 s after its release. (b) How many seconds after its release does the bag strike the ground? (c) With what magnitude of velocity does it strike the ground? (d) What is the greatest height above the ground that the sandbag reaches? (e) Sketch ayt, vyt, and y-t graphs for the motion answer the ff with solution A, B, C, D, EA golfer wants to put the ball into the final hole which lies 7.0 m away from the ball and up a slight hill. Because of the incline while the ball moves up this hill will experience a constant deceleration of 1.8 m/s^2. Which initial velocity should the golfer give the ball if they want to make it go precisely into the hole? Please answer in m/s
- A cannonball is shot from ground level with an initial speed of75.0 m/s. If the maximum height reached by the ball is 25 m,calculate:a) the angle at which the ball left the cannon with respect to thehorizontal,b) how far from the cannon the ball landed,c) the time of flight of the ball. Please include formulas.A hot-air balloonist, rising vertically with a constant velocity of magnitude 5.00 m/s, releases a sandbag at an instant when the balloon is 40.0 m above the ground. After it is released, the sandbag is in free fall. Compute the position and velocity of the sandbag at 0.250 s and 1.00 s after its release. How many seconds after its release will the bag strike the ground? With what magnitude of velocity does it strike the ground? What is the greatest height above the ground that the sandbag reaches?A marble is launched from the edge of a table at a angle of 45 ° up from horizontal and goes through the air until it hits the floor. True or False? For such a marble, its speed is decreasing the entire time the marble is airborne.
- A rugby player passes the ball 9.75 m across the field, where it is caught at the same height as it left his hand. At what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used? (Answer in Degrees) What other angle gives the same range? (Answer in Degrees) For the pass using the smaller of the two angles, how long is the ball in the air? (answer in Seconds)Which of the following is INCORRECT about projectile motion with the same initial and final elevations? a. The total time of flight is twice the time to reach the maximum height. b. The magnitude of the acceleration at the maximum height is 9.8 m/s2. c. At its maximum height, the velocity of the projectile is zero. d. Only the vertical component of the motion is accelerating.From the top of a cliff, a person throws a stone straight downward. The initial speed of the stone just after leaving the person's hand is 9.9 m/s. (a) What is the acceleration (magnitude and direction) of the stone while it moves downward, after leaving the person's hand? Also, is the stone's speed increasing or decreasing? (b) After 0.48 s, how far beneath the top of the cliff is the stone? (Give just the distance fallen, that is, a magnitude.)