7. (b) What is the other car\'s velocity relative to you? 8. A swimmer swims nor

Question

7. (b) What is the other car's velocity relative to you? 8. A swimmer swims north across a river that flows at 1.00 m/s from west to east. If the speed of the swimmer is 2.00 m/s relative to still water, what is the magnitude of the swimmer's velocity relative to the river bank? 9. William Tell is said to have shot an apple off his son's head with an arrow. If the arrow was shot with an initial speed of 50.0 m/s and the boy was 28.0 m away, at what launch angle above the horizontal did Bill aim the arrow? (Assume that the arrow and apple are initially at the same height above the ground. Hint: sin2 theta = 2sin theta cos theta) 10. The hole on a level, elevated golf green is a horizontal distance of 120 m from the tee and at an elevation of 10.2 m above the tee. A golfer hits a ball at an angle of 9.3 degree above the horizontal and makes a hole-in-one! What was the initial speed of the ball?

Explanation / Answer

Question 7 is incomplete. Hence answering question 8.

Here, we have to find the resultant velocity of the river velocity vector due east(along positive x axis) and man's velocity vector due north(along positive y axis). Its magnitude is given by,

R = sqrt(12+22) = sqrt(5) = 2.236 m/s

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