2. What is the change in velocity of a car that is initially traveling west at 4

Question

2. What is the change in velocity of a car that is initially traveling west at 48 km/h and then drives 96 km/h toward the north? (Magnitude km/h& Direction ° east of north)

3.A migrating bird is initially flying south at 9 m/s. To avoid hitting a high-rise building, the bird veers and changes its velocity to 4 m/s east over a period of 2 s. What is the bird's average acceleration (magnitude and direction) during this 2 s interval? (Magnitude m/s2 & Direction ° east of north)

4.A 45 kg person on a merry-go-round is traveling in a circle with a radius of 2 m at a speed of 1 m/s. (a) What acceleration does the person experience? (m/s2) (b) What is the net horizontal force? (N) (c) How does it compare with the person's weight? (Fhor.,net / W)

5. A baseball is hit with a horizontal speed of 16 m/s and a vertical speed of 19 m/s upward. What are these speeds 4 s later? (Horizontal speed & Vertical speed)

1. What are the size and direction of the change in velocity if the initial velocity is 5 m/s south and the final velocity is 3 m/s west? (m/s & ° north of west)

Explanation / Answer

1 )

vf = -3i

vi = -5j

size = |v| = sqrt(x^2+y^2)

|v| = sqrt(3^2+5^2)

|v| = 5.83 m/s

theta = tan^-1(y/x) = tan^-1(5/3) = 59 degree north of west

3 )

average acceleration = change in velocity/time

a = (4i - (9j)/2 = 2i + 4.5j

|a| = sqrt(2^2+4.5^2) = 4.92 m/s^2

direction = theta = tan^-1(4.5/2) = 66 degree

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