The velocity-time graph of a particle in one dimension is shown in the figure below. B A 10 12 14 -1 -2 E -3 Time (s) Assuming that the particle started at x, = 0 [m], what are the instantaneous position x(t) and velocity v(t) equations (in the form compliant with SI units) that correspond to the interval A. from A to B? В. from B to D? С. from D to E? D. Roughly sketch the corresponding a-t and p-t plots for the given v-t plot. Velocity (m/s)

The velocity-time graph of a particle in one dimension is shown in the figure below. B A 10 12 14 -1 -2 E -3 Time (s) Assuming that the particle started at x, = 0 [m], what are the instantaneous position x(t) and velocity v(t) equations (in the form compliant with SI units) that correspond to the interval A. from A to B? В. from B to D? С. from D to E? D. Roughly sketch the corresponding a-t and p-t plots for the given v-t plot. Velocity (m/s)

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 45PE: A dolphin in an aquatic show jumps straight up out of the water at a velocity of 13.0 m/s. (a) List...

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A dolphin in an aquatic show jumps straight up out of the water at a velocity of 13.0 m/s. (a) List the knowns in this problem. (b) How high does his body rise above the water? To solve this part, first note that the final velocity is now a known and identify its value. Then identity the unknown, and discuss how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, checking units, and discuss whether the answer is reasonable. (c) How long is the dolphin in the air? Neglect any effects due to his size or orientation.
A man drops a rock into a well. (a) The man hears the sound of the splash 2.40 s after he releases the rock from rest. The speed of sound in air (at the ambient temperature) is 336 m/s. How far below the top of the well is the surface of the water? (b) What If? If the travel time for the sound is ignored, what percentage error is introduced when the depth of the well is calculated?
In Bosnia, the ultimate test of a young nuns courage used to be to jump off a 400-year-old bridge (destroyed in 1993; rebuilt in 2004) into the River Neretva, 23 m below the bridge. (a) How long did the jump last? (b) How fan was the jumper traveling upon impact with the river? (c) If the speed of sound in air is 340 m/s, how long after the jumper took off did a spectator on the bridge hear the splash?
The graph shown below represents two particles’ motions along x direction. a) What is the overall displacement Δx of each particle over the 50.0 s time interval? b) What is the average velocity vav of each particle over the 50.0 s time interval? c) When & where do they meet? Which particle moves faster when they meet? Explain.
Trying to determine its depth, a rock climber drops a pebble into a chasm and hears the pebble strike the ground3.46 s later. (a) If the speed of sound in air is 343 m/s at the rock climber's location, what is the depth of the chasm? ?m (b) What is the percentage of error that would result from assuming the speed of sound is infinite? ?%
A stone is dropped into a well and 4.5 seconds later the sound of the splash is heard. Then asecond stone is thrown downward into the well with an initial velocity Vo and the sound of thesplash is heard in 4 seconds. If the velocity of sound is constant at 1120 fps, determine the initialvelocity of the second stone.a. Identify the type of motion defined in the problem. b. Set up the equations of motion that is required to solve the problem. c. Solve for the unknown variables by substituting the given in the equations of motionthat has been set up previously.
On February 15, 2013, a superbolide meteor (brighter than the Sun) entered Earth’s atmosphere over Chelyabinsk, Russia, and exploded at an altitude of 23.5 km. Eyewitnesses could feel the intense heat from the fireball, and the blast wave from the explosion blew out windows in buildings. The blast wave took approximately 2 minutes 30 seconds to reach ground level. (a) What was the average velocity of the blast wave? b) Compare this with the speed of sound, which is 343 m/s at sea level.
A ball is dropped down a well and 5 seconds later, the sounds of the splash are heard. if the velocity of sound is 330m/sec. a) What is the depth of the well? b) What is the time for the ball to reach the water surface? c) What is the time for the sound to travel the distance equal to the depth of the well.
A dolphin in an aquatic show jumps straight up out of the water at a velocity of 13.0 m/s. (a) List the knowns in this problem. (b) How high does his body rise above the water? To solve this part, first note that the final velocity is now a known and identify its value. Then identify the unknown, and discuss how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, checking units, and discuss whether the answer is reasonable.
Kristen stands 6 m from a painting, admiring its beauty. She walks 5 m towards it at aconstant rate for 4 s. She stops at this location for 3 s, then she walks away for 4 m at aconstant rate for 8s. a) Draw a distance versus time graph to show Kristen’s distance from the painting.b) What is the instantaneous rate of change at 2 seconds?c) What is her average rate of change between t =0 and t =15? Explain why this does notaccurately represent Kristen’s movement between t =0 and t =15.
a. Sound travels at a speed of 330 m/s. If a firecracker exploded 3625 m away from you, how long does it take the sound of the explosion to reach you? (seconds) b. A car traveling at a constant speed of 33.5 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 3.30 m/s2. How long does it take the trooper to overtake the speeding car? Solve this problem by a graphical method. -On the same graph, plot position versus time for the car and the trooper. -From the intersection of the two curves, read the time at which the trooper overtakes the car. (seconds)
A grandfather clock keeps correct timeat sea level. If the clock is takento the top of a nearby mountain,(a) would you expect it to keepcorrect time, run slow, or runfast? (b) Choose the best explanation from among the following: The extra gravity from the mountain causes the period to decrease