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- A model rocket is initially height of H = 2.00m above the ground. At t=0, it is released from rest and engines ignited. Engines accelerate in positive Y-direction which changes with time of magnitude Bt where B = 18.00 m/s^3. Acceleration doesn't include effects of gravity. After 5 seconds have passed, fuel will run out and no longer provide upward thrust. For this homework question, I need to find the maximum height, how long until it returns to the ground and minimum height necessary to safely launch.A ball is thrown vertically up with a velocity of 80 ft/sec at the edge of a 200-ft cliff. Calculate the height h to which the ball rises and the total time t after release for the ball to reach the bottom of the cliff. Neglect air resistance and take the downward acceleration to be 32.2 ft/sec².A lunar lander is making its descent to Moon Base I . The lander descends slowly under the retro-thrust of its descent engine. The engine is cut off when the lander is 5.0 m above the surface and has a downward speed of 0.8 m>s.With the engine off, the lander is in free fall. What is the speed of the lander just before it touches the surface? The acceleration due to gravity on the moon is 1.6 m/s2.
- The flight of a rocket is as follows: From rest and at sea level, the rocket is launched and climbs at a constant acceleration of 17.2 m/s2 until it runs out of fuel 13.3 km above sea level. It then falls back to earth at the well known constant acceleration due to gravity, 9.81m/s2. What is the total flight time in seconds?A model rocket was launched straight upward from rest. It accelerates with a constant upward acceleration of 3.39 m/s^2 until its engines stop at an altitude of 356 m. After the engines sut off the rocket continues in free fall. The air resistance eerted on the rocket in negligible. What is the maximum altitude reached by the rocket?you will apply kinematic equations to a jumping flea. Take the magnitude of free-fall acceleration to be 9.80 m/s2 . Ignore air resistance. A flea jumps straight up to a maximum height of 0.490 m . What is its initial velocity v0 as it leaves the ground?
- A projectile reaches its maximum height H at time t0 > 0. What fraction of H does it reach at time 1/2 t0?A model rocket is fired straight up from the top of a 50-m tall building. The rocket has only enough fuel to burn for 2s. But while the rocket engine is burning fuel, it produces an upward acceleration of 50 m/s^2. After the fuel supply is exhausted, the rocket is in free fall and just misses the edge of a building as it falls back to the ground. Ignoring air resistance, calculate a. the height above the ground and the velocity of the rocket when its fuel runs out. b. the time the rocket is in the air. c. the rocket's velocity the moment before it hits the ground.rocket, on an unknown planet, launches straight upward. Starting from rest, the rocket accelerates until it reaches 25 m/s then maintains that velocity until its boosters shut off. It eventually falls back to the planet. ASSUME: Starting at t = 0, the rocket accelerates upwards a total distance of 10 m, where it reaches an instantaneous velocity of 25 m/s The moment it reaches an instantaneous velocity of 25 m/s, it travels 30 m upward at a constant speed, then the engines cut off. The moment the engines cut off: the rocket is in free fall From the time it initially launches (t = 0) to the time it lands back on the planet is 7 s The acceleration due to gravity is constant on this planet. HOWEVER you may not assume g = 10 m/s2 Air resistance is negligible DETERMINE: The acceleration due to gravity on this planet
- A rock is thrown vertically upward with a speed of 13.0 m/sm/s from the roof of a building that is 70.0 mm above the ground. Assume free fall. What is the speed of the rock just before it strikes the ground? I will rate accordingly with multiple votes. Please do it correctly.A ball is thrown from the top of a building with an initial velocity of 10:0 m/s straight upward, at an initial height of 55 m above the ground. The bll just misses the edge of the roof on its way down. Determine the time needed for the ball to reach the ground.An inquisitive physics student and mountain climber climbs a 51.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 2.06 m/s. (c) What is the speed of each stone at the instant the two stones hit the water?