An object thrown up from a cliff at 10 m/s reaches a velocity of 20 m/s as it lands. If the acceleration due to gravity is 9.8 m/s²: a) What is the object's displacement? b) How long did it take for the object to land from the time it was thrown up?
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- A hot air balloon is travelling vertically upward at a constant speed of 3.7 m/s. When it is 27 m above ground, a package is released from the ballon. a) After it's released, for how long is the package in the air in units of s? Acceleration of gravity is 9.8 m/s/s. b)What is the speed just before impact with the ground in m/s? c) Now assume the hot air balloon is traveling vertically downward at a constant speed of 3.7 m/s. After the package is released, how long is it in the air in s? d) What is the speed just before impact with the ground in m/s?An elevator starts from the ground floor and moves up with a constant speed of 4 m/s. If a bolt falls off the elevator 2 seconds after it start moving,A) How long does it take for the bolt to hit the ground?B) What is the speed of the bolt just before it hits the ground?C) If the elevator keeps moving after the bolt falls off, what is the distance between the elevator and the bolt when the bolt is 1 meter from the ground?A ball starts from rest and accelerates at 0.5 m/s² while moving down on a 9 m long inclined plane. 10) When the ball reaches the bottom of this plane, it continues moving with constant velocity along 12 m long horizontal path. Then, it moves up the second inclined surface for 10s and it stops. a) What is the speed of the ball at the bottom of the first inclined plane? b) How long does it take for the ball to reach the bottom of the second inclined plane? c) What is the acceleration in the second inclined plane? d) What is the speed of the ball at the point 8 m away from the bottom of the second inclined plane? Answers: a) v = 3 m/s, b) t = 10 s, c) a = -0.3 m/s² (parallel to that surface and in the downward direction), d) v =2.05 m/s
- A girl is standing at the edge of a cliff 100. m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed 8.00 m/s. a) How long does it take the rock to hit the ground? b) What is the speed of the rock the instant before it hits the ground? Please type answerA 7 Kg bowling ball is dropped off a 10 meter diving platform. a) With what speed in meters per second does it hit the surface of the water. Use 9.8 meters per second as the acceleration due to gravity. Include units in your exact (no rounding) answer.A girl flips a coin into a 50 m deep wishing well. If she flips the coin upwards with an initial velocity of 5 m/s:a) How high does the coin rise?b) How long does it take to get to this point?c) How long does it take for the coin to reach the bottom of the well?d) What is the velocity when the coin hits the bottom of the well?
- NASA has fired a rocket straight up into the air from ground level with an unknown initial velocity. It reaches a maximum height of 164,000 feet. This happened in Cape Canaveral therefore the rocket is under the acceleration of Earth's gavity in which we all know is -32 ft/sec/sec. Please round your answers to two decimal places. a). Find the time it takes for the rocket to reach maximum height. b). find the initial velocity necessary to reach that height.1) A man flies a small airplane from Fargo to Bismarck, North Dakota—a distance of 180 mi. Because he is flying into a head wind, the trip takes him 2 h. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 h 15 min. What is his speed in still air, and how fast is the wind blowing? a. what is the speed (mph) in still air? b. wind speed (mph)? 2)A boat on a river travels downstream between two points, 60 mi apart, in 1 h. The return trip against the current takes 2 1/2 hours. a. What is the boat's speed (in still water)? b. How fast does the current river flow?You toss a volleyball at 10 m/s straight upward. a) Draw a sketch of the scenario. b) How long will it take to reach zero speed at the top of its path? c) How long will it take to return to its starting point. d) How fast will it be going when it returns to its starting point.
- A girl is standing at the edge of a cliff 100. m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed 8.00 m/s. a) How long does it take the rock to hit the ground? b) What is the speed of the rock the instant before it hits the ground?An antelope moving with constant acceleration covers the distance 75.0m between two points in time 7.50s. It’s speed as it passes the second point is 16.0 m/s A) what’s the speed at the first point. Express your answer with the appropriate units v= B) what is the Acceleration? In proper unitsAn object accelerates uniformly from rest to 6 m/s in 34 seconds, find: a. The time it takes to change it's speed from 4 m/s to 34 m/s. b. the distance it has travelled in 6 seconds.