The space shuttle releases a space telescope into orbit around the earth. The telescope goes from being stationary to traveling at a speed of 1700 m/s in 25 seconds. What is the acceleration of the satellite?
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- A car is travelling north on a straight road at 25 m/s and a drone is flying east at 4 m/s at an elevation of 35 m. At one instant the drone passes directly over the car. How fast is the distance between the drone and car changing 7 seconds later?NASA is launching a rocket into space from Earth. This particular rocket burns its fuel for 5 minutes and then turns off its engines. At this point, the rocket keeps floating along through space at a speed of 10 km/s. What is the rocket’s average acceleration during these first 5 minutes?A test rocket is fired vertically upward from a well. A catapult gives it initial speed 60 m/s at ground level. Its engines then fire and it accelerates upward at 5.0 m/s² until it reaches an altitude of 1,100 m. At that point its engines fail and the rocket goes into free-fall, with an acceleration of g=9.80 m/s². What is its velocity just before it collides with the Earth? (You will need to consider the motion while the engine is operating separately from the free-fall motion.) [Give your answer in m/s to the nearest 0.1 m/s]
- A red train traveling at 20 m/s and a green train traveling at 40 m/s are headed toward one another along a straight, level track. When they are 950 m apart, each engineer sees the other's train and applies the breaks. The breaks decelerates each train at the rate of 1 m/s˄2. What is the speed (in m/s) of the green train at impact?A skater with mass 50 kg is moving on a horizontal surface at the speed of 6.7 m/s and sees a ramp ahead. The height of the ramp is 2.1 m. What is the speed of the skater, in the unit of m/s, at the top of the ramp? Use g = 10 m/s2 for the acceleration due to gravityNASA is launching a rocket into space from Earth. This particular rocket burns its fuel for 5 minutes and then turns off its engines. At this point, the rocket keeps floating along through space at a speed of 10 km/s. What is the rocket’s average acceleration during these first 5 minutes? Part 2: How far did the rocket travel during the first 5 minutes? Part 3: The Moon is approximately 3.8.105 km from Earth. At its final speed, how long will it take the rocket to reach the Moon? Part 4: The star nearest to us, called Alpha Centauri, is 4.1.1013 km away. Could this rocket get a man to Alpha Centauri before he dies of old age? (This is a real obstacle to NASA’s plans of exploring other solar systems than our own!) Part 5: The rocket is half way to the Moon when its pilot suddenly notices he forgot his camera! He radios a second rocket crew on Earth and tells them to bring his camera and meet him on the Moon when he lands. Unfortunately, the second rocket can only…
- A spaceship is traveling at a velocity of v0 = (37.3 m/s)i when its rockets fire, giving it an acceleration of a = (2.55 m/s2)i + (4.19 m/s2)k. How fast, in m/s, is the rocket moving 6.06 s after the rockets fire?The Cassini spacecraft traveled with a companion module, Huygens, that split off so that it could land on Saturn's moon, Titan. The acceleration due to gravity on the surface of Titan is 1.352 m/s?. If a piece of Huygens falls from a height of 1.40 m and lands on the surface of Titan, how long would the piece take to fall? Assume it starts from rest. 2.07 s 0.535 s 1.43 s 0.286 sAn astronaut is playing with a ping pong paddle and ball in zero gravity. The astronaut is 12 m from a flat wall and floating toward it at 4 m/s. A ping pong ball bounces back and forth between his paddle and the wall at 11 m/s. Eventually, the astronaut reaches the wall and traps the ball against it. Now treat the “bounce” somewhat realistically. If the bounce lasts 25ms, what is the average acceleration of the ball during this time? Give the magnitude only in m/s^2.
- A parachutist jumps out of an airplane and accelerates with gravity to a maximum velocity of 58.8 m/s in 6 seconds. She then pulls the parachute cord and after a 4 second deceleration, descends at 10 m/s for 60 seconds. reaching the ground. From what height did the parachutist jump?The space shuttle releases a space telescope into orbit around the earth. The telescope goes from being stationary to traveling at a speed of 1700 m/s in 25 seconds. What is the acceleration of the satellite? Given:Unknown:Equation:Substitute:Solve:The acceleration due to gravity on the surface of a planet depends on the mass and size of the planet; therefore, other planets will have accelerations due to gravity other than 9.8 m / s2. Imagine an astronaut standing on an alien planet, which has no atmosphere, and throws a stone with a velocity of 7.35 m / s in a horizontal direction, dropping it at a height of 1.40 m above the surface of the planet. The rock hits the surface at a horizontal distance of 9.50 m from the astronaut. Find the magnitude of the acceleration due to gravity, in m / s2, on this alien planet.