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- A ball is suspended from a light 1.3 m string . The string makes an angle of 24 degrees with the vertical. The ball is then kicked up and to the right such that the string remains taut the entire time the ball swings upwards. This kick gives the ball an initial velocity of 1.1m/s. What will be the speed, in meters per second, of the ball when it reaches its lowest point (θ = 0)? What will be the maximum angle, in degrees, the string will make with the vertical?Emily throws a soccer ball out of her dorm window to Allison, who is waiting below to catch it. Emily throws the ball at an angle of 30° below horizontal with a speed of 12 m/s, and Allison catches it 2.5 s later. What is the vertical distance between Emily and Allison, in meters? Use g = 10.0 m/s2.Before jumping from the bridge, Martin throws his water bottle to a friend standing on the bank of the lake. The bridge is 7.0 m high. The friend is standing on the bank 15.0 m from the base of the bridge with their hand 1.0m above the ground. What speed must Martin throw the bottle horizontally for it to reach his friend's hand?
- A roof worker loses his grip on his box of tools while working on a tall house. His box slides down the roof. The roof is angled at 29 degrees with the horizontal. The roof is made of a frictionless material. The box travels 5 m down the roof and then leaves the edge of it 12 m above the ground. a). Figure out the box's velocity as it leaves the house's roof? b). How far from the base of the house does the box hit the ground? c). By how much does the box clear the yard fence which is 1.8m tall and located 6.7m away from the base of the house? I TOOLS 5m 29° 12 m 1.8m 6-7m ENGL7You throw a 19.6-N rock vertically into the air from ground level. You observe that when it is 10.0 m above the ground, it is traveling at 20.0 m/s upward. What is the rock's initial speed as it left the ground? 32.4 m/s O 14.0 m/s 24.4 m/s 30.4 m/s O 17.3 m/s
- A stone is thrown upward from a cliff at an angle of 35 degrees above the horizontal with a speed of 47 m/s. The stone hits the ground 5.0 s later. a) What is the x component of the stones initial velocity? v47.0m/s 35 O51.0m/s 041.0 m/s 38.5 m/s O270 m/sAn Olympic diver is on a diving platform 4.5 m above the water. To start her dive, she runs off of the platform with a speed of 1.3 m/s in the horizontal direction. Determine the diver's speed just before she enters the water. 4.7 m/s 9.5 m/s 6.4 m/s 0 m/sA man stands on the roof of a 15.0-m-tall building and throwsa rock with a speed of 30.0 m/s at an angle of 33.0 above the horizontal.Ignore air resistance. Calculate Draw x-t, y-t, vx-t, and vy-t graphs for the motion.
- You're helping a friend move in to their apartment on the second floor, and decide it makes more sense to throw a box straight up from the ground to the open window in the apartment, 5.00 m above the ground. Your friend leans out the window and catches the box while it's moving upward at 2.40 m/s. What is the speed of the box as it left your hand?You throw a ball on planet X where g is not the same as on Earth. The figure below shows the vertical velocity of the ball after it leaves your hand. Air resistance is not important. v(m/s) 18.0 12.0 6.0 -6.0 -12.0 -18.0 1.0 2.0 3.0 t(s)3. A rocket, initially at rest, is fired vertically upward with an acceleration of 10 m / s2. At a height of 0.50 km, the rocket engine shuts down. What is the maximum height the rocket reaches? choose an answer A B C D E 1.9 km 1.3 km 1.6 km 1.0 km 2.1 km