Conceptual Questions: 1) Give an example of a nonzero vector that has a component of zero. 2) Explain why a vector cannot have a component greater than its own magnitude. 3) Answer the following questions for projectile motion on level ground assuming negligible air resistance (the initial angle being neither 0" nor 90"): (a) Is the acceleration ever zero? (b) Is the acceleration ever in the same direction as a component of velocity? (c) Is the acceleration ever opposite in direction to a component of velocity? Textbook Questions: 1) Chapter 3 Problem 20 2) Chapter 3 Problem 62 (this may seem fairly hard, think about Vwind-earth = Vwater-earth + Vwind water My Questions: 1) A vector has an x component of -25.0 units and a y component of of 40.0 units. Find the magnitude and direction of this vector. (47.17 units at 122.0 degrees from east) 2) A novice golfer on the green takes 3 strokes to sink the ball. The successive displacements of the ball are 4.00 m to the north, 2.00 m northeast, and 1.00 m at 30.0 degrees west of south. Calculate the net displacement. (4.64 m @ 78.6 degrees N of E) 3) Ski lodges in areas prone to avalanches will sometimes use artillery shells to deliberately set off an avalanche. If a shell is fired at an angle of 47 degrees and with an initial speed of 290 m/s, where will the shell be 40 seconds later? ( 7=(79007+640 j )m ) 4) In fighting forest fires, airplanes work in support of ground crews by dropping water on the fires. A pilot is practicing by dropping a canister of red dye, hoping to hit a target on the ground below. If the plane is flying in a horizontal path 90.0 m above the ground and with a speed of 64.0 m/'s, at what horizontal distance from the target should the plane release the canister? Ignore air resistance. (274 m before) 5) The archerfish hunts by dislodging an unsuspecting insect from its resting place with a stream of water expelled from the fish's mouth. Suppose the archerfish squirts water with a speed fo 2.15 m/s at an angle of 52.0 degrees above the horizontal, and aims for a beetle on a leaf 3.00 cm above the water's surface. a) At what horizontal distance from the beetle should the archerfish fire if it is to hit its target in the least time? b) How much time will the beetle have to react? (a: 0.0248 m, b: 0.0187 s) 6) a) What is the greatest horizontal distance from which the archerfish (from above) can hit the beetle, assuming the same squirt speed and direction? b) How much time does the beetle have to react in this case? (a: 0.432 m, b: 0.327 s)