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tervals. Question 1-6: The diagram below shows the positions of the cart at equa

ID: 1658461 • Letter: T

Question

tervals. Question 1-6: The diagram below shows the positions of the cart at equal time in t3-3s Motion to os ty-1s Detector t2-2s x3 At each indicated time, sketch a vector above the cart that might represent the velocity of the cart at that time while it is moving away from the motion detector and speeding up. Question 1-7: Show below how you would find the vector representing the change in velocity between the times 1 sec and 2 sec in the diagram above. (Hint: remember that the change in velocity is the final velocity minus the initial velocity, and the vector difference is the same as the sum of one vector and the negative of the other vector.) Based on the direction of this vector and the direction of the positive x-axis, what is the sign of the acceleration? Does this agree with your answer to Question 1-4?

Explanation / Answer

we first note down the value of position and time at t = 1 and t = 2 sec

we draw a position time graph using this information

we know that the slope of position time graph gives the velocity at that instant

hence we determine the slope of the position time graph at t = 1 and t = 2

change in velocity = velocity at t = 2 - velocity at t =1