Answer:
A. 0.432
B. -1.92
C. 1.44 units/second
D. -3.2 units/second
Explanation:
A. To calculate her x position, we just use the following equation of motion to find the distance traveled:
[tex]s=u*t+\frac{1}{2} (a*t^2)[/tex]
here s = displacement
t = time (in seconds)
a = acceleration
Solving for the distance, we get:
[tex]s = 0 * 0.6 + \frac{1}{2}(2.4 * 0.6^2)[/tex]
s = 0.432 m
Since 0.432 meters east is equals to 0.432 meter in the positive x-direction, the x position is also 0.432.
B. Since the skater has a constant v - velocity of -3.2 m/s, (south means negative y axis), the total distance traveled is:
Distance = speed * time = -3.2 * 0.6 = -1.92 m
The answer is -1.92 units in the y-axis.
C. The x velocity component is the final speed in the east direction, which is going to be:
[tex]v^2 - u^2=2*a*s[/tex]
[tex]v^2 = 2*2.4*0.432[/tex]
v = 1.44 units/second (in positive x direction)
D. Her y velocity component does not change, since the velocity towards the south is a constant 3.2 m/s
Thus the answer is -3.2 units/second in the y-axis.
