Tanjiro's enemy has a constant acceleration of 30m/s? for 10 seconds. To tease Tanjiro, theenemy changed his acceleration to half of his initial acceleration for the next 10 seconds butTanjiro used the 6th form of the water breathing technique that creates a whirlpool thatmade the enemy change this acceleration back to 30m/s² for another 10 seconds before hewas defeated.a) Draw the a-t graph of Tanjiro's enemy with proper labels.b) Draw the resulting v-t graph of Tanjiro's enemy with proper labels.c) Give the enemy's acceleration at 15 seconds.d) Give the enemy's velocity at 5 seconds.e) Give the enemy's displacement at 20 seconds.

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Tanjiro's enemy has a constant acceleration of 30m/s2 for 10 seconds. To tease Tanjiro, the enemy changed his acceleration to half of his initial acceleration for the next 10 seconds but Tanjiro used the 6th form of the water breathing technique that creates a whirlpool that made the enemy change this acceleration back to 30m/s? for another 10 seconds before he was defeated. a) Draw the a-t graph of Tanjiro's enemy with proper labels. b) Draw the resulting v-t graph of Tanjiro's enemy with proper labels. c) Give the enemy's acceleration at 15 seconds. d) Give the enemy's velocity at 5 seconds. e) Give the enemy's displacement at 20 seconds.

Tanjiro's enemy has a constant acceleration of 30m/s2 for 10 seconds. To tease Tanjiro, the enemy changed his acceleration to half of his initial acceleration for the next 10 seconds but Tanjiro used the 6th form of the water breathing technique that creates a whirlpool that made the enemy change this acceleration back to 30m/s? for another 10 seconds before he was defeated. a) Draw the a-t graph of Tanjiro's enemy with proper labels. b) Draw the resulting v-t graph of Tanjiro's enemy with proper labels. c) Give the enemy's acceleration at 15 seconds. d) Give the enemy's velocity at 5 seconds. e) Give the enemy's displacement at 20 seconds.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 2.69AP: The Acela is an electric train on the Washington-New YorkBoston run, carrying passengers at 170...

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The Acela is an electric train on the Washington-New YorkBoston run, carrying passengers at 170 mi/h. A velocity-time graph for the Acela is shown in Figure P2.69. (a) Describe the train's motion in each successive lime interval, (b) Find the trains peak positive acceleration in the motion graphed, (c) Find the trains displacement in miles between t = 0 and t = 200 s.
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 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 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.
(a) Explain how you can determine the acceleration over time from a velocity versus time graph such as the one in Figure 2.56. (b) Based on the graph, how does acceleration change over time?
Astronauts on a distant planet toss a rock into the air. With the aid of a camera that takes pictures at a steady rate, they record the rocks height as a function of time as given in the following table. (a) Find the rocks average velocity in the time interval between each measurement and the next. (b) Using these average velocities to approximate instantaneous velocities at the midpoints of the time intervals, make a graph of velocity as a function of time. (c) Does the rock move with constant acceleration? If so, plot a straight line of best fit on the graph and calculate its slope to find the acceleration.
PROBLEM A race car starting from rest accelerates at a constant rate of 5.00 m/s2, (a) What is the velocity of the car after it has traveled 1.00 102 ft? (b) How much time has elapsed? (c) Calculate the average velocity two different ways. STRATEGY Weve read the problem, drawn the diagram in Figure 2.16, and chosen a coordinate system (steps 1 and 2). We'd like to find the velocity v after a certain known displacement x. The acceleration a is also known, as is the initial velocity v0 (step 3, labeling, is complete), so the third equation in Table 2.4 looks most useful for solving part (a). Given the velocity, the first equation in Table 2.4 can then be used to find the time in part (b). Part (c) requires substitution into Equations 2.2 and 2.7, respectively. Figure 2.16 (Example 2.4) SOLUTION (a) Convert units of x to SI, using the information in the inside front cover. Write the kinematics equation for v2 (step 4): Solve for v, taking the positive square root because the car moves to the right (step 5): Substitute v0 = 0, a = 5.00 m/s2, and x = 30.5 m: 1.00 102ft = (1.00 102 ft) v2 = v02 + 2a x v = v02+2ax v = v02+2ax = (0)2+2(5.00m/s2)(30.5m)= 17.5 m/s (b) Find the trooper's speed at that time. Substitute the time into the troopers velocity equation: vtrooper = v0 + atrooper t = 0 + (3.00m/s2)(16.9s) = 50.7 m/s Solve Example 2.5, Car Chase, 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.
Construct the displacement graph for the subway shuttle train as shown in Figure 2.18(a). Your graph should show the position of the train, in kilometers, from t=0 to 20 s. You will need to use the information on acceleration and velocity given in the examples for this figure.
Draw motion diagrams for (a) an object moving to the right at constant speed, (b) an object moving to the right and speeding up at a constant rate, (c) an object moving to the right and slowing down at a constant rate, (d) an object moving to the left and speeding up at a constant rate, and (e) an object moving to the left and slowing down at a constant rate. (f) How would your drawings change if the changes in speed were not uniform, that is, if the speed were not changing at a constant rate?
(a) Explain how you can use the graph of position versus time in Figure 2.54 to describe the change in velocity over time, Identify (b) the time (ta, tb, tc, td, or te) at which the instantaneous velocity is greatest, (c) the time at which it is zero, and (d) the time at which it is negative,
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.