5 What are the magnitude Av and angle of the change in velocity if the initial velocity is 50.0 m/s south and the final velocity is 45.0 m/s west? Let the angle be measured relative to the east direction (e.g., 0 = 90° means Au points north, 0 = 180° means Au points west, etc.). Av= 0 = 45.0 Incorrect 243.43 m/s

5 What are the magnitude Av and angle of the change in velocity if the initial velocity is 50.0 m/s south and the final velocity is 45.0 m/s west? Let the angle be measured relative to the east direction (e.g., 0 = 90° means Au points north, 0 = 180° means Au points west, etc.). Av= 0 = 45.0 Incorrect 243.43 m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 5CQ: A projectile is launched with speed v0 at an angle 0 above the horizon. Its motion is described in...

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You can use any coordinate system you like to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle with respect to the horizontal. Let the building be 50.0 m tall, the initial horizontal velocity be 9.00 m/s, and the initial vertical velocity be 12.0 m/s. Choose your coordinates such that the positive y-axis is upward, the x-axis is to the right, and the origin is at the point where the ball is released, (a) With these choices, find the balls maximum height above the ground and the time it takes to reach the maximum height. (b) Repeat your calculations choosing the origin at the base of the building.
A football receiver running straight downfield at 5.50 m/s is 10.0 m in front of the quarterback when a pass is thrown downfield at 25.0 above the horizon (Fig. P3.58). If the receiver never changes speed and the ball is caught at the same height from which it was thrown, find (a) the footballs initial speed, (b) the amount of time the football spends in the air, and (c) the distance between the quarterback and the receiver when the catch is made. Figure P3.58
A projectile is launched with speed v0 at an angle 0 above the horizon. Its motion is described in terms of position, velocity, and acceleration: x, y, vx, vy, ax, ay, respectively, (a) Which of those quantities are constant during the motion? (b) Which are equal to zero throughout the motion? Ignore any effects of air resistance.
The vector position of a particle varies in time according to the expression r=3.00i6.00t2j, where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particles position and velocity at t = 1.00 s.
Under what circumstances does distance traveled equal magnitude of displacement? What is the only case in which magnitude of displacement and displacement are exactly the same?
A seagull flies at a velocity of 9.00 m/s straight into the wind. (a) If it takes the bird 20.0 min to travel 6.00 km relative to the Earth, what is the velocity of the wind? (b) If the bird turns around and flies with the wind, how long will he take to return 6.00 km? (c) Discuss how the wind affects the total round-trip time compared to what it would be with no wind.
You can use any coordinate system you like to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle with respect to the horizontal. Let the building be 50.0 m tall, the initial horizontal velocity be 9.00 m/s, and the initial vertical velocity be 12.0 m/s. Choose your coordinates such that the positive y-axis is upward, the x-axis is to the right, and the origin is at the point where the ball is released, (a) With these choices, find the balls maximum height above the ground and the time it takes to reach the maximum height. (b) Repeat your calculations choosing the origin at the base of the building.
A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 18.0 m/s. The cliff is 50.0 m above a flat, horizontal beach as shown in Figure P3.7. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity? (c) Write the equations for the x- and y-components of the velocity of the stone with time, (d) Write the equations for the position of the stone with time, using the coordinates in Figure P3.7. (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? Figure P3.7
An airplane maintains a speed of 630 km/h relative to the air it is flying through, as it makes a trip to a city 750 km away to the north. (a) What time interval is required for the trip if the plane flies through a headwind blowing at 35.0 km/h toward the south? (b) What time interval is required if there is a tailwind with the same speed? (c) What time interval is required if there is a crosswind blowing at 35.0 km/h to the east relative to the ground?
A rugby player passes the ball 7.00 m across the field, where it is caught at the same height as it left his hand. (a) At what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the possible angles was used? (b) What other angle gives the same range, and why would it not be used? (c) How long did this pass take?
(a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0° north of east (which is equivalent to subtracting B from A that is, to finding R=AB ). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° south of west and then 12.0 m in a direction 20.0° east of south (which is equivalent to subtracting A from B that is, to finding R=BA=R ). Show that this is the case.
A farm truck travels due east with a constant speed of 9.50 m/s along a horizontal road. A boy riding in the back of the truck tosses a can of soda upward (Fig. P3.40) and catches it at the same location in the truck bed, but 16.0 m farther down the road. Ignore any effects of air resistance. (a) At what angle to the vertical does the boy throw the can, relative to the moving truck? (b) What is the cans initial speed relative to the truck? (c) What is the shape of the cans trajectory as seen by the boy? (d) What is the shape of the cans trajectory as seen by a stationary observer on the ground? (e) What is the initial velocity of the can, relative to the stationary observer? Figure P3.40