A child, who is L = 41 m from the bank of a river, is being carried helplessly downstream by the river's swift current of 1.0 m/s. As the child passes a lifeguard on the river's bank, the lifeguard starts swimming in a straight line until she reaches the child at a point downstream. a.) If the lifeguard can swim at a speed of 2.0 m/s relative to the water, how long does it take her to reach the child? Express your answer to two significant figures and include the appropriate units.   b.)How far downstream does the lifeguard intercept the child? Express your answer to two significant figures and include the appropriate units.

iii. A boat's speed in still water is vgw = 2.2 m/s. If the boat is to travel directly across the river whose current is vws = 1.5 m/s, a) Find the velocity (magnitude and direction) of the boat relative to the shore b) If the river is 132m wide, how long will it take to cross the river? River current N w- E

You are traveling to the North-East at 50 m/s. Simultaneously you are being pushed towards the East at a speed of 10 m/s.   a. If you proceed in this manner for 10 minutes, what is the displacement vector from the t=0 location?   b. How far do you travel in the East direction during these 10 mins.?

Sally is on a kayak that comes to a stop a small distance from the dock. Since it is such a small distance, Sally decides to jump to the dock. She makes the jump, but the kayak moves away from her as she jumps. Since Sally is interested to see what happens on other boats, she makes the same jump from a yacht that is much larger than the kayak. Which boat will move away from Sally more quickly? 1)It is impossible to predict which boat moves away from Sally more quickly. 2)The yacht will move away from Sally more quickly because it is larger in mass. 3)Both boats will move away at the same speed because Sally has not changed mass and momentum must be conserved. 4)The kayak will move away from Sally more quickly because the yacht is larger in mass.