All you need to do is to convert the velocity to meters per hour. Then multiply by 0.4 hours. I guess the answer was rounded up.
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
Ambassador i believe if not then embassy
Answer:
Part 1)

Part 2)

Part 3)

Part 4)

Part 5)

Explanation:
Part a)
Initial angular momentum of the merry go round is given as

here we know that


now we have


Part b)
Angular momentum of the person is given as

so we have


R = 1.99 m
so we have


Part 3)
Angular momentum of the person is always constant with respect to the axis of disc
so it is given as

Part 4)
By angular momentum conservation of the system we will have




Part 5)
Force required to hold the person is centripetal force which act towards the center
so we will have



Answer:
125 / 500 = 1/4 of the sample left after 3.0 yrs
1/2 * 1/2 = 1/4 sample has decayed thru 2 half-lives
2 * HL = 3
1 Half-Life = 1.5 yrs