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# Assign1 - PHY 53 Summer 2010 Assignment 1 Reading...

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Assignment 1 Reading: Kinematics 1, Kinematics 2 Key Concepts: Position, velocity, acceleration; trajectory; constant acceleration in 1-D; vectors, magnitude, direction, components; position, velocity and acceleration in 3-D. 1. Two cars are traveling parallel to each other on a 4-lane highway. Their positions x as a function of time t are shown in the graph, starting at t = 0 . a. Did either of them start from rest at t = 0 ? If so, which one(s). How do you know? b. What is the signiFcance of the point on the graph where the curves cross? c. What is the signiFcance of the point on the x -axis where the curve for #1 intersects it? d. Did one of them travel at constant speed? Which one? How do you know? e. Is there a time at which their speeds were the same? How would you determine when that was? 2. The velocity of an object is given by the equation v ( t ) = 3 6 t (SI units). a. What is the acceleration a ( t ) ? b. If the initial position of the particle is x (0) = 0 , what is x ( t ) for t 0 ? c. At what time is x = 0 again? Ans : t = 1 s. d. Sketch plots of x and v for 0 t 2 . x t 1 2 PHY 53 Summer 2010 1

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3*. A railroad worker realizes that a car on a slope does not have its brakes set and will roll down. He runs to the car to set the brakes. At t = 0
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Assign1 - PHY 53 Summer 2010 Assignment 1 Reading...

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