Note that this assumes that the ball is not spinning, since spin would cause the ball to deflect sideways after bouncing off the pavement. For the ball to bounce straight up, it would need essentially zero horizontal velocity relative to the ground, which means that the velocity of the ball relative to the truck was 50 km/h. You first have to assume that the truck velocity and relative ball velocity are both in the horizontal direction, since no additional information is given. See answer Answers For Relative Velocity Problems Answer for Problem # 2 What is the maximum value of w to make sure this limit is not exceeded? To prevent excessive frictional heating, the sliding velocity of the pin relative to the slot is to be no more than 5 m/s. Since the scotch yoke is being used in a food plant and contamination must be prevented, the pin is made of smooth plastic, with no lubrication applied. The pin is rigidly connected to the crank wheel which is rotating at w radians per second. If the velocity of the puck relative to the player is V p, at what angle θ must the player hit the puck, relative to the line of sight between puck and target, so that the puck hits the target?Ī scotch yoke mechanism is shown in the figure below, with dimensions given in units of meters. In a skills competition, a hockey player is skating across the ice at a velocity V h and tries to hit a target with the puck, as shown in the figure below. At what angle θ must the newspapers be thrown, relative to the car, so that they fly in a direction parallel to the driveways? The newspapers are thrown at a velocity of V p relative to the car. Why is it easier for an airplane to take off into the wind?Ī car is driving down the road at a velocity V c, relative to ground, and is delivering newspapers to homes, as shown in the figure below. What is the velocity of the duck and what is its direction of travel, with respect to ground? The river is 6 meters wide and it is flowing at a speed of 2 m/s. What was the velocity of the ball relative to the truck?Ī duck swims at a constant speed from one side of a river to the other side in a time of 4 seconds. A pedestrian on the ground sees the ball hit the pavement and then bounce straight up. From the point of view of a passenger on the car, what is the velocity of the motorcycle? Answer: 30 km/hĪ ball is kicked off the back of a pickup truck traveling at 50 km/h. ( Follow this link to see an animated visual hint, and the answer.On this page I put together a collection of relative velocity problems to help you understand relative velocity better.Ī motorcycle traveling on the highway at a speed of 120 km/h passes a car traveling at a speed of 90 km/h. the back of the car just passes the front of the truck). Using the graph, find the time corresponding to the point at which the automobile just passes the truck (i.e. After finding the acceleration and the time required for the pass, use Maple to plot the position of both the automobile and the truck as a function of time. From the data supplied in the figure, calculate the acceleration of the automobile during the pass and the time required for the pass. The diagram above shows the passing ability of an automobile at low speed. At the end you will find an animation from the truck's point of view that reveals the answer to the problem. Perhaps you can even solve it a third time, from the point of view of the car. You should solve it twice - once from the point of view of an external stationary observer, and again from the point of view of the truck. A good example of this is provided by the following "classic" problem. This can be especially useful when solving motion problems if one of the objects in the problem is moving with constant velocity relative to the "external" frame. It is a basic principle of physics - called Gallilean relativity - that the laws of physics are the same when measured with respect to two reference systems that are moving at constant velocity with respect to one another. Relative acceleration is defined the same way. Relative velocity is defined in the obvious way as the derivative of the relative position - which is of course the difference of the velocities of the objects. In the simple example in the preceding section, you have seen that the relative position of two objects moving in one dimension is simply the difference in their positions (measured in any reference system). A problem inspired by the driver's manual and the white Bronco
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