Please answer these ASAP A" Read aloudPOGIL: Velocity and DisplacementPosition, Distance and DisplacementTo answer the question "How do things move?", we often want to know where an object is located andhow far it is from its initial location. For one dimensional motion, we define the following quantities for suchdescriptions:• position - identifies where the object is located relative to a reference point on a line, called the origin. If theobject is to the right of the origin, the position is given as a positive distance from the origin. If the object is tothe left of the origin, the position is given as a negative distance from the origin.AC-4 m -3 m -2 m -I mO Im2 m3 m4 mFor example:• point A is 2 m to the left of the origin and therefore has a position of x = -2m• point B is 1 m to the right of the origin; it has a position of x = +1 m• point C is 2.5 m to the right of the origin; it has a position of +2.5 m.• distance - how far an object traveled. This does not matter which way an object goes. If you take a tapemeasure and measure the path in which an object travels, then this measurement would be the distance.• displacement- the change in an object's position. It gives the distance between the initial and final positionsof an object's motion AND the direction from the initial to final point. If the final position is to the right of theinitial position, then the displacement is positive; if the final position is to the left of the initial position, then thedisplacement is negative.1. The position vs. time graph below describes the motion of a person walking.252015102.41012time (s)position (m) A Read aloud Draw2. Use the position vs. time graph to answer the following questions.(a) What is the person's average speed from:i. O to 6 s?ii. 6 to 8 s?iii. 8 to 12 s?iv. O to 12 s?(b) What is the person's average velocity from:i. O to 6 s?ii. 6 to 8 s?iii. 8 to 12 s?iv. O to 12 s?(c) During what time interval(s) is the person at rest?(d) During what time interval(s) are the speeds/velocities constant?(e) During what time interval(s) does the person move in the positive direction?(f) During what time interval(s) does the person move in the negative direction?Making a Speed and Velocity vs time graphThe information you read from a position vs time graph can be used to make a speed vs time graph anda velocity vs time graph. If the speed or velocity is constant, then the speed/velocity is the same valuefor that given period of time.Using the information from the position vs time graph, and the answers on this page, construct a speedvs time graph and a velocity vs time graph. Make sure you fill in the appropriate numbers (based onyour calculations) on the y-axis.

"Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

2. Use the position vs. time graph to answer the following questions. (a) What is the person's average speed from: i. O to 6 s? ii. 6 to 8 s? iii. 8 to 12 s? iv. O to 12 s? (b) What is the person's average velocity from: i. O to 6 s? ii. 6 to 8 s? ii. 8 to 12 s? iv. O to 12 s? (c) During what time interval(s) is the person at rest?

2. Use the position vs. time graph to answer the following questions. (a) What is the person's average speed from: i. O to 6 s? ii. 6 to 8 s? iii. 8 to 12 s? iv. O to 12 s? (b) What is the person's average velocity from: i. O to 6 s? ii. 6 to 8 s? ii. 8 to 12 s? iv. O to 12 s? (c) During what time interval(s) is the person at rest?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 26P: PROBLEM A race car starting from rest accelerates at a constant rate of 5.00 m/s2, (a) What is the...

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(a) Sketch a graph of velocity versus time corresponding to the graph of displacement versus time given in the following figure. (b) Identify the time or times (ta,tb,tcetc.) at which the instantaneous velocity has the greatest positive value. (c) At which times is it zero? (d) At which times is it negative?
A particles acceleration is (4.0i+3.0j)m/s2. At t=0, its position and velocity are zero. (a) What are the particles position and velocity as functions of time? (b) Find the equation of the path of the particle. Draw the x and y-axes and sketch the trajectory of the particle.
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.
A car is 2.0 km west of a traffic light at t=0 and 5.0 km east of the light at t=6.0min . Assume the origin of the coordinate system is the light and the positive x direction is eastward. (a) What are the car’s position vectors at these two times? (b) What is the car’s displacement between 0 mm and 6.0 mm?
Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 45 with respect to the 50-yard line and covers 8.0 m in 1 s. He then fins straight down the field at 90 with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?
A dancer moves in one dimension back and forth across the stage. If the end of the stage nearest to her is considered to be the origin of an x axis that runs parallel to the stage, her position, as a function of time, is given by x(t)=[(0.02m/s3)t3(0.35m/s2)t2+(1.75m/s)t2.00m]i a. Find an expression for the dancers velocity as a function of time. b. Graph the velocity as a function of time for the 14 s over which the dancer performs (the dancer begins when t = 0) and use the graph to determine when the dancers velocity is equal to 0 m/s.
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A cat walks in a straight line, which we shall call the -axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Figure 1). I. Calculate the area under the graph between t = 0 and t = 6.0 s. (Express your answer to two significant figures and include the appropriate units.) II. For the time interval t = 0 to t = 6.0 s, what is the magnitude of the average velocity of the cat? (Express your answer to two significant figures and include the appropriate units.) III. Use constant-acceleration equations to calculate the distance the cat travels in this time interval. (Express your answer to two significant figures and include the appropriate units.)
.A ball is rolled up a ramp with an initial speed of five meters per second up the ramp,from an initial position three meters from the bottom of the ramp.It experiences a constant acceleration down the ramp of two meters per second squared. a. What is the peak distance up the ramp that the ball will reach?Hint: First solve for time using one of the kinematic equations… b. How fast will the ball be moving as it reaches the ground?
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world-champion sprinter runs the 100-meter dash. He accelerates from rest at a rate of 2.4 m/s for the first 50 meters, and then maintains a constant speed for the remainder of the race, a.) What are the sprinter's times for the first 50 meters and for the entire race? b.) Draw a graph of the sprinter's velocity versus time for the entire race. (Be sure to use the correct numbers and scale on the axes.)
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