1) A car is moving along the x -axis and its velocity, v x , varies with time as

Question

1) A car is moving along the x-axis and its velocity, vx, varies with time as shown in the figure. What is the displacement of the car from t = 4.00 s to t = 9.00 s?

2)An object fired at an angle of 20.1

A car is moving along the x-axis and its velocity, vx, varies with time as shown in the figure. What is the displacement of the car from t = 4.00 s to t = 9.00 s? An object fired at an angle of 20.1 degree above the horizontal takes 2.25 s to travel the last 16.1 m of its vertical distance and the last 12.1 m of its horizontal distance. With what speed was the object launched? (Note: This problem does not stipulate that the initial and final elevation of the object has to be the same!)

Explanation / Answer

1) displacmeent = area under v-t curve =

d(4 to 9)   = 4 x (5-4) /2 - 4 x (8-5)/2 + 2 x (9-8)/2   = - 3 m

2) 12.1 = vcos20.1 x 2.25

v   = 5.73 m/s

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