A 90.00-kg hockey goalie, at rest in front of the goal, stops a puck (m = 0.16 kg) that is traveling at 30.00 m/s. at what speed
1 answer:
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Answer:
4.34 mi at north of east
Explanation:
The displacement of an object in motion is a vector connecting its initial position to the final position of motion.
In this problem, the man has 2 different motions:
- 3.50 mi due east
- 2.57 mi due north
We can take the east direction as positive x-direction and north as positive y-direction, so these two motions can be written as:
Since the two motions are perpendicular to each other, the resultant displacement can be found by using Pythagorean's theorem; therefore:
We can also find the direction using the equation:
And therefore,