i. A ball is thrown horizontally at 30m/s from the roof of a building lands 42m from the base of the building. How tall is the building? ii. Find the following [Both direction and magnitude] A – 3B + 20 +Y "Ā(25) C(10) 500 -X +X 200 В(18) -Y
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A: Ans:- Image-1
Q: image
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- A rocket is launched at an angle of 53.0 above the horizontal with an initial speed of 100. m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 30.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile. Find (a) the maximum altitude reached by the rocket, (b) its total time of flight, and (c) its horizontal range.A fireman d = 50.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of i = 30.0 above the horizontal as shown in Figure P3.18. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building? Figure P3.18An airplane maintains a speed of 630 km/h relative to the air it is flying through, as it makes a trip to a city 750 km away to the north. (a) What time interval is required for the trip if the plane flies through a headwind blowing at 35.0 km/h toward the south? (b) What time interval is required if there is a tailwind with the same speed? (c) What time interval is required if there is a crosswind blowing at 35.0 km/h to the east relative to the ground?
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- A plane travels N 30o W at an air speed of 600 kph. If the wind has a speed of 80 kph on a direction of N 40o E. What is the direction of the plane relative to the ground?a. N 23o 10' Wb. N 33o 40' Wc. N 51o 20' Wd. N 35o 12' W1. The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above the floor. A player standing on the free-throw line throws the ball with an initial speed of 8.00 m/s, releasing it at a height of 2.58 m above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error. ________________° above the horizontal 2. An Olympic diver is on a diving platform 6.50 m above the water. To start her dive, she runs off of the platform with a speed of 1.27 m/s in the horizontal direction. What is the diver's speed, in m/s, just before she enters the water? ___________________m/sA jet airliner moving initially at 3.35 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 29.5° north of east. (Let the x-direction be eastward and the y-direction be northward.) (a) Find the components of the velocity of the jet airliner relative to the air, vJA. vJA,x = mi/h vJA,y = mi/h (b) Find the components of the velocity of the air relative to Earth, vAE. vAE,x = mi/h vAE,y = mi/h (d) What are the speed and direction of the aircraft relative to the ground? magnitude mi/h direction ° north of east