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a ball is thrown vertically upward with a speed of 12.0 m/s inside a bus moving at 9.0m/s. what is the velocity of a ball as observed by a man standing on the street?
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- A ball is thrown vertically upward with a speed of 12.0 m/s inside a bus moving at 9.0 m/s. What is the velocity of the ball as observed by a man standing on the street?Daniel takes his two dogs, Pauli the Pointer and Newton the Newfoundland, out to a field and lets them loose to exercise. Both dogs sprint away in different directions while Daniel stands still. From Daniel's point of view, Newton runs due North at 3.90m/s, but from Pauli's point of view, Newton appears to be moving at 1.50 m/s due East. What must Pauli's velocity relative to Daniel be for this to be true? Express your answer in terms of the ? and ?‑components if North is the +? direction and East is the +? direction. a) ?-component (m/s): ?-component (m/s): b) Express your answer as a magnitude and an angle measured counter‑clockwise from due East.A boy is inside a bus moving at 5.0 m/s toward east. He is walking at 1.0 m/s toward the front. What is the velocity of the boy as observed by another passenger waiting for the bus at a nearby bus stop?
- Two cars are moving towards an intersection. One car is 180180 meters north of the intersection and moving towards the intersection at 1313 m/s, while the other is 6060 meters west of the intersection and moving away from the intersection at 1010 m/s. How rapidly are the cars approaching each other 55 seconds later?boy sees a deer run directly away from him. The deer is running with a speed of 20 mi/hr. The boy gives chase and runs with a speed of 8 mi/hr. What is the speed of the deer relative to the boy?Arthur and Betty start walking toward each other when they are 100. m apart. Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s. Their dog, Spot, starts from Arthur's side at the same time and runs back and forth between them. By the time Arthur and Betty meet, what is Spot's displacement?
- A person is standing 350 feet away from a model rocket that is fired straight up into the air at a rate of 15 ft/sec. At what rate is the distance between the person and the rocket increasing 30 seconds after liftoff?While standing at the second floor balcony in an apartment building at 3 meters above the ground, Peter throws a tennis ball upward to Tom, who is standing at the seventh floor balcony at 12 meters above the ground. The velocity with which Peter throws the ball is equal to 17 m/s. Tom successfully catches the ball while it is still moving upward. What is the velocity magnitude of the ball when Tom catches it?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?
- Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of 3 m/s and Betty has a speed of 2 m/s. Their dog, Spot, starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s. By the time Arthur and Betty meet, what distance has Spot run? (in meters)Felipe is on a train going south at 30 meters per second. At one point, he passes a train that is traveling north at 24 meters per second. From Felipe’s frame of reference, what is the velocity of the northbound train? 54 m/s 24 m/s 1.25 m/s 6 m/sA 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 20.0 m/s. A 1.0-kg stone is thrown from the basket with an initial velocity of 15.0 m/s perpendicular to the path of the descending balloon, as measured relative to a person at rest in the basket. That person sees the stone hit the ground 5.00 s after it was thrown. Assume that the balloon continues its downward descent with the same constant speed of 20.0 m/s. (a) How high is the balloon when the rock is thrown? (b) How high is the balloon when the rock hits the ground? (c) At the instant the rock hits the ground, how far is it from the basket? (d) Just before the rock hits the ground, find its horizontal and vertical velocity components