A jogger running east at a slow pace suddenly develops a cramp. She is lucky: A westbound bus is sitting at a bus stop just ahead. She gets on the bus and enjoys a quick ride home. Which of the following partial motion diagrams (what are they missing?) describe the jogger for the entire trip. The dots are numbered with increasing time 2 8 7 6. 5 1 6. : 2
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- 3. The velocity of a particle traveling along a straight line is v = (3t – 4t) ft/s, where t is in seconds. If s = 4 ft when t = 0, determine the position of the particle when t = 4 s. What is the total distance traveled during the time interval t = 0 to t = 4 s?Let's look at Figure 3, which is another position vs time graph. Figure 3 10 C 8 4 2 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 Time (s) We have labelled 3 points. They occur at zero, one, and two seconds. The slopes have been indicated by a red line. What can we learn from this? If we look at slope A, we can tell that the velocity is zero at this point because the slope line is horizontal. A horizontal slope is zero because the change in the vertical direction is zero. Slope B is a positive slope since it points upward. Another way to say it is that it is rotated counter-clockwise from the horizontal. Slope C is the largest of the three slopes. Therefore, we can say that the velocity of the object increases from zero to some positive value. We know that the velocity is changing in the positive direction. This means that the acceleration of the object must be positive. Homework: Consider the position vs time graph in Figure 3. a) Sketch (estimate) an appropriate corresponding…ates) Tılı 80 1. The following graph displays the position of an object versus time. x(t) (m) 4 ● Accessibility: Investigate 2 The acceleration is positive The velocity is negative The speed is +0.5 m/s The position is at a maximum The object is still 900 2 4 Normal tv Using the graph, match each description of motion to the correct time interval. Not all given options are answers. No Spacing H + 6 8 10 Heading 1 MacBook Air t (sec) a) 0 4 e f) only 8 < t < 10 g) t < 2 h) none of the above DII Headine ● X . Fo
- 1. Driver A is cruising along enjoying the fall colors. Driver B starts driving her car the instant he passes her. They both drive along a straight line. Their velocities are shown as functions of time in the graph. At what instants in time are drivers A and B side by side? The dotted lines are to guide the eyes. v (m/s) 40 20 1 2 3 Car B 4 Car A 5 6 7 8 9A lion is napping in the shade as a zebra saunters by at steady 48.2 km/h. Feeling the desire for dinner the lion accelerates at 4.44m/s2 for 5.00 seconds. What velocity will the lion attain after 5.00 seconds? Graph the motion (velocity vs. time) of the lion and the deer for the entire scenario. Label the axis and any major points.Ahmed and Khalid are having a 100m race from start to finish. Ahmed gives Khalid a 25m head start (he waits until Khalid is 25m away before starting) .Khalid travels at a constant velocity of 5 m/s. Assuming that Ahmed accelerates uniformly from rest at 0.75 m/s2, does he pass Khalid before the finish line? If so, where? If not, how much longer does Khalid take to finish? (explain your reasoning)
- A basketball is dropped from a walkway above Bartow Arena. It falls from rest with a constant acceleration of 9.8 m/s² until it reaches the floor 2.5 seconds later. A physics class is modeling the 1-D straight line motion as part of a class project They want construct a simple, but accurate, data table using the following equations: V₁+1 = V₁ + at and X₁+1 = X₁ + vi t which are familiar to you. Their instructor requires them to make the constant time interval▲t between rows in their table sufficiently small so that they have only a 4 percent error in the total distance traveled by the ball during the 2.5 seconds. What should be the value of At in their data table to cover the entire time interval and achieve the desired error?Referring to the figure, a truck drives a distance d=30.1m in the positive x direction in a time t1=17.2s, at which point the truck brakes, coming to rest in t2=8.13s. Part A: What is the truck's average velocity in the horizontal direction, in meters per second, during the t1 time period? Part B: Assuming the truck started from rest and moved with a constant acceleration, what was the acceleration, in meters per suqared second, during the time interval t1? Part C: What was the truck's instananeous velocity in the horizontal direction, in meters per second, when it began braking? And using the result from the previous answer, what was the truck's horizontal component of acceleration, in meters per squared second, during the braking period? Please explain how you got your answer in detail.You decide to travel by car for your holiday visits this year. You leave early in the morning to avoid congestion on the roads. This enables you to drive at a comfortable speed of v1=67.1 mph for t1=1.70 hours. However, after this time, you unexpectedly come to a stop for tstop=43.8 min. Traffic starts moving again and you finish your travel at v2=55.6 mph for an additional t2=1.40 hours. There are 1609 meters in one mile. What was the total distance d traveled? What was the average speed v?
- A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 23.0 m/s, and the distance between them is 55.0 m. After t₁ = 3.00 s, the motorcycle starts to accelerate at a rate of 7.00 m/s². The motorcycle catches up with the car at some time t2. Figure 1 of 1 car motorcycle x(1) car x(1) x(1) BRE car motorcycle motorcycle A time с time time motorcycle x(1) car car LE motorcycle B time D time How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car? In other words, find t₂ - t₁. Express the time numerically in seconds using three significant figures. ► View Available Hint(s) VE ΑΣΦ ? t₂-t₁= 1.58 Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Part C How far does the motorcycle travel from the moment it starts to accelerate (at time t₁) until it catches up with the car (at time t₂)? Should you need to use…An object is moving to the right with a constant speed of 21 m/s for 5.0 s. What is the acceleration of the object, in m/s²? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.What is the car’s average acceleration between t1= 2.00s and t2= 5.00s? Answer 3.5m/s^2 Both images have background info to help solve the practice problem.