Answer:
The ball travels with a speed of 1.96 m/s in a North East direction
Explanation:
Based on the law of conservation of linear momentum, we have that
Since this problem involves motion in both the x and y coordinates, we will solve it in the separate coordinates, and then find the resultant as our answer.
Momentum in the x- direction
in the x direction, 
. this makes 
hence we have
Momentum in the y- direction
in the y direction, 
. this makes 
hence we have
The resultant of the two vectors can be found using Pythagoras' theorem
The direction of the resultant vector is found as
Hence the ball moves with a velocity of 1.96m/s in a North East direction
Answer:
Sound vibrations travel in a wave pattern, and we call these vibrations sound waves. Sound waves move by vibrating objects and these objects vibrate other surrounding objects, carrying the sound along. ... Sound can move through the air, water, or solids, as long as there are particles to bounce off of.
Explanation:
Walking at a speed of 2.1 m/s, in the first 2 s John would have walked
(2.1 m/s) (2 s) = 4.2 m
Take this point in time to be the starting point. Then John's distance from the starting line at time <em>t</em> after the first 2 s is
<em>J(t)</em> = 4.2 m + (2.1 m/s) <em>t</em>
while Ryan's position is
<em>R(t)</em> = 100 m - (1.8 m/s) <em>t</em>
where Ryan's velocity is negative because he is moving in the opposite direction.
(b) Solve for the time when they meet. This happens when <em>J(t)</em> = <em>R(t)</em> :
4.2 m + (2.1 m/s) <em>t</em> = 100 m - (1.8 m/s) <em>t</em>
(2.1 m/s) <em>t</em> + (1.8 m/s) <em>t</em> = 100 m - 4.2 m
(3.9 m/s) <em>t</em> = 95.8 m
<em>t</em> = (95.8 m) / (3.9 m/s) ≈ 24.6 s
(a) Evaluate either <em>J(t)</em> or <em>R(t)</em> at the time from part (b).
<em>J</em> (24.6 s) = 4.2 m + (2.1 m/s) (24.6 s) ≈ 55.8 m
The correct answer for the question that is being presented above is this one: "a. the pressure decreases." As the speed of a fluid increases, the pressure decreases." The relationship of the speed and the pressure is inversely proportional. As the pressure increases, the speed decreases.
