3. A swimmer is capable of swimming at a speed of 4.15 m/s in still water. If he aims his body directly across a 90.0 m wide river whose current is 1.40 m/s, how far downstream (from a point opposite his starting point) will he land?

A military cargo plane is passing over a remote area of wilderness  where it cannot make a safe landing. instead of landing the cargo it's dropped. The plane is flying at 284m/s horizontally at an altitude of 584m. How far out in front of the landing target should the cargo be let out the back of the plane?

Please don't provide handwritten solution....   An artillery shell is fired with an initial velocity of 300 m/s at 47.5° above the horizontal. To clear an avalanche, it explodes on a mountainside 44.0 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point? x = m y = m

1. Vivian is practicing her shooting accuracy with her slingshot by trying to shoot rubber balls into a bucket on the ground. For one particular shot for which the ball lands in the bucket, she fired her slingshot horizontally with an initial speed of 56.0 m/s at a height of 170 cm above the ground. (a) How far away is Vivian standing from the bucket? (b) What are the magnitude and direction of the ball's velocity when it lands in the bucket? Note: Please be mindful of significant figures. Also, you can assume that when the balls land in the bucket, they are on the ground.

A bullet is fired. at 250 m/s horizontally over level ground at an altitude of 1.9 meters. How far (in meters) horizontally will the bullet travel before strinking the ground?

2 M S F2 7. The captain of a small plane starts his journey by proceeding west. The speed of the plane with respect to still air is 170 km/h. A sudden south wind starts to blow at a constant speed of 87.5 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot? km/h 3 8. b) As seen by people on the ground, what is the angle made between the direction of motion of the plane with repect to the west? 9. c) At what angle with respect to the west must the pilot head his plane in order for it to proceed west as seen by the people on the ground? E 80 F3 D $ 4 F4 R F % O 5 F5 T G 6 MacBook Air IS Y & 7 H F7 U * 8 J DII FB ( 9 K F10 L P F12

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8. A 70 m wide river flows at 0.80 m/s. A girl swims across it at 1.4 m/s relative to the water. (a) What is the least time she requires to cross the river? (b) How far downstream will she be when she lands on the opposite shore? (c) At what angle to the shore would she have to aim, in order to arrive at a point directly opposite the starting point? (d) How long would the trip in part (c) take?