A sky lantern which a child tied to a piece of stone on the ground at the side of a tall multi- storey building got loose and then rose vertically upward with a uniform rate of 2.7 m/sec. At a certain height, it touched a small loose stone on the side of the building. The stone strikes the ground after 2.5 sec. Determine the height in meters of the sky lantern when the stone touched the ground.
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- 1. a) A steel ball is dropped from a building's roof and passes a window, taking 0.13 s to fall from the top to the bottom of the window, a distance of 1.20 m. It then falls to a sidewalk and bounces back past the window, moving from bottom to top in 0.13 s. Assume that the upward flight is an exact reverse of the fall. The time the ball spends below the bottom of the window is 1.93 s. How tall is the building? b) A basketball player grabbing a rebound jumps 74.1 cm vertically. How much total time (ascent and descent) does the player spend in the bottom 10.3 cm? Do your results explain why such players seem to hang in the air at the top of a jump?A car travels along the North Luzon Expressway with a constant speed of 45 kph, To avoid getting penalized of under-speeding, it accelerates at 8 m/s?, Determine the time, in s, that it takes to reach the minimum speed limit of 80 kph. Also determine the distance travelled by the car while accelerating. If it stops to pay at a tollgate, determine the deceleration, in m/s?, of the car in 10s Also determine the distance travelled by the car while decelerating hellooo urgent pls helpppIn a rope-climbing competition, all of the lifting is done by the arms; legs can only dangle. Imagine 220-lb Garvin Smith in training, hanging stationary from the rope, his legs off the floor. When prompted by his coach, he rapidly lifts his center of mass by 4 ft. in 0.65 s. Calculate Garvin Smith's acceleration. Round the final answer to one decimal place. Determine the net force (“force imbalance”) producing the acceleration. Round the final answer to one decimal place. Which forces are acting on Smith? (Note that his arms are part of himself, so they cannot exert a force on Smith.) With what magnitude force is Smith pulling down on the rope? Round the final answer to one decimal place. The force of 130.2 lb points _____.
- Question-3 An aircraft flying at a height of 800m with uniform horizontal velocity of 360km/hr releases a bomb which hits a target on the ground. Find (a) the time required for the bomb to reach the target, (b) the horizontal distance of the aircraft from the target when the bomb was released (c) direction and velocity with which the bomb hits the target.A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the angle in degrees through which the blade has turned in the 20-s intervalA stone is dropped from a balloon that is ascending at uniform rate of 10 m/sec. If it takes the stone 10 sec. to reach the ground, how high was the balloon at the instant the stone was dropped?
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- . To promote their new album, Black Pink decided to launch a satellite into orbit that will intercept all airwaves and play their songs worldwide. To do this, he needs to mount a 200 [kg] satellite onto an 850 [kg] rocket. It blasts off vertically from a launchpad with a constant net upward acceleration of 3.80 [m/s2]. When it has reached a height of 680 [m], the satellite was released, and the rocket blew up shortly after, due to a system failure. Assume that the satellite was not damaged after the explosion. (a) What is the maximum height that the satellite will reach above the launchpad? (b) How much time will elapse after system failure before the satellite comes crashing down the launch pad? (c) How fast will the satellite be moving just before it crashes?An aircraft touches down at a speed of 200 km/hour and the brakes are applied. If the aircraft deceleration is given by ? = −0.05 ? (using units of metres and seconds), how far will it have travelled along the runway by the time its speed drops to 20 km/hour?A 45.0 kg girl is standing on a 155 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.39 m/s relative to the plank. (Let the direction the girl is moving in be positive. Indicate the direction with the sign of your answer.) (a) What is her velocity relative to the surface of ice? m/s(b) What is the velocity of the plank relative to the surface of ice? m/s