Describe a straight-line graph in terms of its slope and y-intercept. Determine average velocity or instantaneous velocity from a graph of position vs. time.Determine average or instantaneous acceleration from a graph of velocity vs. time.Derive a graph of velocity vs. time from a graph of position vs. time.Derive a graph of acceleration vs. time from a graph of velocity vs. time

Q: 3A: Sketch position vs. time, velocity vs. time, and acceleration vs. time graphs for a cart…

A: Part a) Position Vs time

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A: The position-time graph is shown below.

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Q: 7. Which is true for both uniform velocity and uniform acceleration as depicted by velocity-time…

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Q: The graph shows the x-velocity vs. time for an cart moving along a straight track. Which statement…

A: From the graph, ax= Δ VX/ Δ t

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Q: An object is moving with constant velocity. The displacement versus time graph of this object has a…

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Q: 5. The data in the following table represent the initial and final velocities for a boat traveling…

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Q: What is the distinction between speed and velocity? Describe a situation in which an object's speed…

A: NOTE: ● The physical quantity which has only magnitude ,called scalar quantity. ●The physical…

Q: A driver in a moving car applies the brakes. The car slows to a final speed of 3.20 m/s over a…

A: The final speed of the car, v=3.20 m/s The distance covered by the car, S= 40 m The time taken by…

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Q: 2. Plot Instantaneous velocity vs. time graph (this is a bar graph). Note that for constant…

A: Time (dots) Instantaneous  velocity (cm/dot) 2.5 0.21 7.5 0.46 12.5 0.72 17.5 0.89…

Q: Imagine you are riding a bike. With this scenario, create your own problem involving conversion of…

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Q: 2) If the curve in this graph represents a position vs. time graph, draw the corresponding velocity…

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Q: A car accelerates from rest to a speed of 30 m/s in 5 seconds It then travels at a constant velocity…

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Q: What is the slope of the velocity-time graph if an object undergoes a constant acceleration of 1…

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Q: The position vs. time graph for a person walking on a long, straight road is shown in the figure.…

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Q: A mountain climber stands at the top of a 37.0-m cliff that overhangs a calm pool of water. She…

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Q: A lion is napping in the shade as a zebra saunters by at steady 48.2 km/h. Feeling the desire for…

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Q: What is the total distance covered by the bug? What is the total displacement of the bug? What is…

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Q: Starting from rest, a car accelerates at a constant rate of 3.0 m/s2 for a time of 5 seconds.…

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Q: Equation for motion (1d) toy car: X(t)=-4t^3+10t^2 +8 a) Calculate the velocity (as a function of…

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Q: 5. What does a horizontal line on velocity-time graph represent? a. uniform motion C. uniformly…

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Q: 66. Starting at x = - 16 m at time t = 0 s, an object takes 18 s to travel 48 m in the +x direction…

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Q: What is the average and Instantaneous acceleration? What is the difference between them? Write a…

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Q: 60s, 60-70s, 70-80s, 80-90s, and 90-100s. (2) Using the v-t graph, calculate and plot the complete…

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Q: A particle travels along a straight line with an acceleration shown, where s is measured in meters.…

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Q: 2. Differentiate displacement-vs-time graph from the velocity-versus-time graph according to the…

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Q: A turtle and a rabbit engage in a footrace over a distance of 4.00 km. The rabbit runs 0.500 km and…

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Q: 7. You are given the position-time relationship below (where x is in meters and t is in seconds): 1…

A: SOlution:

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –