When given a velocity vs. time graph, draw the corresponding position vs. time and acceleration vs. time graphs. Graphs should include labels (including numerical values and correct units) for both the horizontal and vertical axes. The values don't have to be exactly right, but they should be relatively close. If possible, find the slope and apply it to a real life situation.

When given a velocity vs. time graph, draw the corresponding position vs. time and acceleration vs. time graphs. Graphs should include labels (including numerical values and correct units) for both the horizontal and vertical axes. The values don't have to be exactly right, but they should be relatively close. If possible, find the slope and apply it to a real life situation.

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A bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during (a) segment A, (b) segment B, and (c) segment C? Express your answers in km/h. 450.0 +40.0 C. +30.0 +20.0 B +10.0 0.5 1.0 1.5 2.0 2.5 3.0 Time (h) (a) Number i Units (b) Number i Units (c) Number i Units Position x (km)
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3. A ball is thrown upwards at 13.0 m/s toward the ceiling located 6 m above the point where you release the ball. Air resistance is negligible. Objects falling near the earth's surface with no forces acting except gravity have a downwards acceleration of magnitude g. For this problem use g = 10 m/s². Write any equation you use in symbolic form before substituting in numbers. Make a labeled picture with symbols and all relevant values. Put a coordinate system on the a. picture by indicating the location of the origin and position direction. b. Find the time taken to reach the ceiling. Find the velocity just before the ball touches the ceiling. C.
Please answer the following question(s): 1. The speed of a boat in still water is vá. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vand v₁. Hint: Velocity=displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "v" and "v": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. vb vb Downstream positive Vr Upstream negative Vr
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A particle moves so that its position (in meters) as a function of time (in seconds) is r = î + 5t2 j + 5t k. (Use the following as necessary: t.) (a) Write an expression for its velocity as a function of time. V = m/s (b) Write an expression for its acceleration as a function of time. a = m/s?
A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call the velocity and a the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion, respectively. Figure U₁(m/s) 2.0 1.5 1.0 0.5 1(s) 0 10 20 30 40 50 1 of 1 (Figure 1) is a plot of velocity versus time for a particle that travels along a straight line with a varying velocity. Refer to this plot to answer the following questions. Part A What is the initial velocity of the particle, vo? Express your answer in meters per second. ▸ View Available Hint(s) V₁ =…
I don't understand how to do this problem. I tried taking the derivative, but that didn't give me the correct answer. I would really appreciate the help. When a 1984 Alpha Romeo Spider sports car accelerates in the x-direction at the maximum possible rate,its motion during the first 20. seconds is extremely well modeled by the simple equation vx2=(60 m2/s3)t, where t is time in seconds and vx is in m/s. In other words, the squareof teh car's velocity increases linearly with time. What is its acceleration after 3s, assuming that the car starts from rest at t=0 s?
Three polarizing sheets are placed in a stack with the polarizing directions of the first and third perpendicular to each other. What angle should the polarizing direction of the middle sheet make with the polarizing direction of the first sheet to obtain maximum transmitted intensity when unpolarized light is incident on the stack? 0° 15° 30° 45° 60° 75° 90°
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Here, you derive the formula. At t = 0, a car is going v0 and is x0 from the start of the road. The driver accelerates the car at a until time t. Derive the formula for x(t).