Question

1. A figure skater glides along a circular path of radius 5.28m.

(a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (SI unit: m)

(b) If she coasts around one half of the circle, find what distance she skated. (SI unit: m)

(c) What is the magnitude of the displacement if she skates all the way around the circle? (SI unit:m)

2. A novice golfer on the green takes three strokes to sink the ball. The successive displacements of the ball are d1=3.98m to the north, d2=2.10m northeast, and d3= 1.14m at 30.0 degree west of south (see the figure below). Starting at the same initial point, an expert golfer could make the hole in what single displacement?

ds 30.0° di

(a) magnitude (m)

(b) direction ____________________degree north of east

3. A ball is thrown upward from the top of a building at an angle of 30 degree to the horizontal and with an initial speed of 18.0 m/s. The point of release is h=47.0m above the ground.

(a) how long does it take for the ball to hit the ground? (s)

(b) find the ball's speed at impact. (m/s)

(c) find the horizontal range of the ball. (m)

4. Suppose the ball is thrown from the same height as in the PRACTICE IT problem at an angle of 25 degree below the horizontal. If it strikes the ground 60.4 m away, find the following

(a) the time of flight (s)

(b) the initial speed (m/s)

(c) the speed and angle of the velocity vector with respect to the horizontal at impact

(a) the time of flight (s)

(b) the initial speed (m/s)

(c) the speed and angle of the velocity vector with respect to the horizontal at impact

- speed (m/s)

- angle (degree below the horizontal)

5.

Answer 1

Answer 2

1

Answer 3

Answer 4

3)