A juggler performs in a room whose ceiling is 3 m above the level of his hands. He throws a ball vertically upward so that it just reaches the ceiling. a. With what initial velocity does he throw the ball? b. How much time is required for the ball to reach the ceiling? 2.
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- Y A student throws a dart horizontally toward the center of a target, X, at a speed of 20 m/s as shown. The dart flies for 0.1 s and then hits below the center, at Y. How much lower, in m, does it hit? O 0.05 O 0.01 0.1 O 0.5 0.2At the lowest point of the waterfalls, water is moving at a speed of 40.0 meters per second. If the waterfall's height is 22.7 m. What is the water's velocity at the maximum height of the falls? A 36.89 m/s B 22.24 m/s 17.29 m/s D 14.93 m/s E) 33.99 m/sA skier traveling horizontally at 7.00 m/s shoots off a vertical cliff. Moments later she hits horizontal snow again with a velocity at an angle of 55 degrees below the horizontal. A. Find her velocity as she hits the snow? B. For how long was she in the air? C. How far did she land from the foot of the cliff?
- 4. At the construction site of a tall building, a worker is in an elevator descending at a constant downwards velocity of 5 m/s. When the elevator is 40 meters above ground level, her friend, standing at ground level, tosses a wrench straight upward with an initial speed of 25 m/s. Take the time when the wrench is tossed as t = 0. For this problem, use g = 10 m/s². a. Draw a labeled picture with symbols and all relevant values. Quantities that are different should be given different symbols, for example y, and Yw. b. Graph the velocities versus time of the elevator and the wrench on the same graph. Label axes of the graph (with units). C. At what time does the wrench and the elevator have the same velocity? 20 10 -10 -20 3 4 time (s) d. Which object (the wrench or elevator) is higher when their velocities are the same? By how much is one object higher than the other at this time? (s/u) ka1An egg is thrown nearly vertically upward from a point near the cornice of a tall building. It just misses the cornice on the way down and passes a point a distance 50.0 m below its starting point at a time 5.00 s after it leaves the thrower's hand. Air resistance may be ignored. a. What is the initial speed of the egg, and how high does it rise above its starting point? b. What is the magnitude of its velocity at the highest point? c.
- A baseball is hit with an initial velocity of 20 m/s at an angle of 22 degrees above the horizontal and at an initial height of .9 m. a. How high will the baseball go? b. How far will the baseball go when it hits the ground?9. A boy wishes to throw a ball over a flat roofed school house that stands 12 m wide and 7.5 m high on level ground. Assuming that the ball will leave his hand at a height of 1.5 m above the ground, determine how far from the wall he should take his stand in order to make the ball clear the roof with least effort, that is, with minimum initial velocity. A. 4.4 m B. 2.1 m C. 7.4 m D. 8.1 mA stant motorcyclist is trying to jump over fifteen buses set side to side .each bus is 2.50m wide and a 30degree ramp has has been Installed on either side of the line of buses . A.what is the minimum speed at which she must travel to safely reach the other side? B.How long will she be in the air?
- Some children are practicing baseball and accidentally throw a ball onto the roof of one of their houses. Suppose that the baseball was thrown at an angle of 51° above the horizontal at a speed of 25 m/s. The ball rises to its maximum height before falling onto the roof of the house 3.6 m above the level at which it was thrown.a. determine the total time, in seconds, the baseball spends in the airb.calculate the distance in meters,between the baseball's launch point and its landing pointYou are walking around your neighborhood and you see a child on top of a roof of a building kick a soccer ball. The soccer ball is kicked at 50° from the edge of the building with an initial velocity of 10 m/s and lands 20 meters away from the wall of the building. Which equation will allow you to solve for the amount of time the ball is in the air? Hint: look at your givens in the x-direction. Group of answer choices A. vfx2=v0x2+2axΔx B. vfx=v0x+axt C. Δx =v0x t + ½ axt2Joe picks up a piece of rock and throws it horizontally from a height of 2.30 m at 3.45 m/s a. how much time does the rock take to hit the ground b. what is the vertical speed of the rock as it hits the ground c how far does the rock get horizontally d what is the rock's total velocity ( magnitude and direction) as it hits the ground?