2- Constant Velocity Problems1.)Two toy buggy cars play a game of chicken. The car's are released 300 m apart at thesame time in opposite directions. If car A travels at 10 m/s and car B travels at -15 m/s,determine where they will meet. Draw a position -vs- time graph and velocity -vs- timegraph. Solve two different ways using each of the graphs.A buggy car starts at 10 m and travels in the +x direction with a constant velocity of 1.5m/s for 4 s. The car immediately stops for 3s ạnd turns around and travels in the2.)opposite direction with a constant velocity of 2 m/s for 10 s.a. Draw a position -vs- time graph and velocity -vs- time graph.3.)The following position -vs- time graph is given.+40+30Position+20x (m)+1051015202530Time t(s)A.)В.)C.)Determine the instantaneous velocity at t = 2 s.Determine the instantaneous velocity at t = 16 s.Draw a velocity -vs-time graph.

Given; velocity of car A: vA=10 m/s velocity of car B: vB=-15 m/s initial distance between cars =…

Answered: Two toy buggy cars play a game of…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter3: Accelerated Motion

Section3.2: Motion With Constant Acceleration

Problem 39SSC

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Similar questions

Kathy tests her new sports car by racing with Sian, an experienced racer. Both start from rest, but Kathy leaves the starting line 1.00 s after Stan does. Stan moves with a constant acceleration of 3.50 m/s2, while Kathy maintains an acceleration of 4.90 m/s2. Find (a) the time at which Kathy overtakes Stan, (b) the distance she travels before she catches him, and (c) the speeds of both cars at the instant Kathy overtakes Stan.
A speedboat travels in a straight line and increases in speed uniformly from i = 20.0 m/s to f = 30.0 m/s in displacement x of 200 m. We wish to find the time interval required for the boat to move through this displacement, (a) Draw a coordinate system for this situation, (b) What analysis model is most appropriate for describing this situation? (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? (d) Solve the equation selected in part (c) symbolically for the boats acceleration in terms of i, f, and x. (e) Substitute numerical values lo obtain the acceleration numerically. (f) Find the time interval mentioned above.
A bicycle racer sprints at the end of a race to clinch a victory. The racer has an initial velocity of 11.5 m/s and accelerates at the rate of 0.500 m/s2 for 7.00 s. (a) What is his final velocity? (b) The racer continues at this velocity to the finish line. If he was 300 m from the finish line when he started to accelerate, how much time did he save? (c) One other racer was 5.00 m ahead when the winner started to accelerate, but he was unable to accelerate, and traveled at 11.8 m/s until the finish line. How far ahead of him (in meters and in seconds) did the winner finish?
A student drives a moped along a straight road as described by the velocitytime graph in Figure P2.32. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the velocitytime graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (c) What is the acceleration at t = 6.00 s? (d) Find the position (relative to the starting point) at t = 6.00 s. (e) What is the mopeds final position at t = 9.00 s? Figure P2.32
A student drives a moped along a straight road as described by the velocity-versus-time graph in Figure P2.12. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the velocity-versus-time graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (c) What is the acceleration at t = 6.00 s? (d) Find the position (relative to the starting point) at t = 6.00 s. (e) What is the mopeds final position at t = 9.00 s? Figure P2.12
(a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in Figure 2.57. (b) Identify the time or titles (ta, tb, tc, etc.) at which the acceleration is greatest, (c) At which times is it zero? (d) At which times is it negative?
In Figure 2.11b, the area under the velocitytime graph and between the vertical axis and time t (vertical dashed line) represents the displacement. As shown, this area consists of a rectangle and a triangle. (a) Compute their areas. (b) Explain how the sum of the two areas compares with the expression on the right-hand side of Equation 2.16.
A student drives the 100-mi trip back to campus after spring break and travels with an average speed of 52 mi/h for 1 hour and 30 minutes for the first part of the trip. (a) What distance was traveled during this time? (b) Traffic gets heavier, and the last part of the trip takes another half-hour. What was the average speed during this leg of the trip? (c) Find the average speed for the total trip.
I understand to solve this practice problem for each acceleration, I do the change in velocity/change in time and that the only thing I'm missing is the speed at the end of the first time interval. I just can't figure out exactly how to configure the problem.
MT2: Match the given position vs time graph to the correct velocity vs time graph that represents the same motion. Don’t worry about matching exact times, just look for the right pattern.In a couple sentences or bullet points, describe a physical scenario for the motion (for example, using the motion of a person walking or a car driving).
4. A police officer at a speed trap clocks a speeding vehicle blazing by at 67 mph. Theofficer takes 2 seconds to put away her donuts before chasing after the vehicle. The police carcan go from Oto 60 mph in 9 seconds.(a.) If the speeding vehicle remains at the same speed, how much time does it take for theofficer to catch up to it? Assume she is going as fast as possible with constant acceleration.(b.) How far is the officer from where she started when she catches up to the speedingvehicle?
2b. Using this data, sketch a plot of velocity vs time. Label your plot axes, so it is clear when (and if) the velocity changes.

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