1. A projectile is fired from the edge of a building 11.0 m tall. The projectile just clears a 20.0 m high wall some distance away with a velocity given by 0 = (13.07 – 7.507) m/s. (a) Find the angle above the horizontal at which the projective is fired. (b) Determine the horizontal distance between the building and the wall. (c) How much time elapses between the instant the projectile is fired and the time it hits the ground beyond the wall.

6. A bullet traveling horizontally at a speed of 395 m/s hits a board perpendicular to the surface, passes through it, and emerges on the other side at a speed of 175 m/s. If the board is 3.30 cm thick, how long does the bullet take to pass through it? 0 ssY 60 s ssf60 ssf6 60 ssf60 s

A catfish is spotted at the bottom of a creek. The depth of the water is 2 m. A hunter (with no knowledge ofoptics) fires a rifle shot, directly aimed at the catfish. The bullet strikes the water at an angle of 40° to the water. Assumethat the bullet is not deflected by the air/water interface, what is the distance from the bullet hole at the bottom of the creekto the catfish?A) 0.88 mB) 0.97 mC) 0.49 mD) 0.56 mE) 0.73 m

6. A person kicks a soccer ball such that it leaves the ground with an initial velocity of 20.0 m/s at an angle of 18.0° above the horizontal. The ball travels 9.00 meters horizontally where it then arrives at the goal that has a height of 2.13 m. a) Assuming the goalkeeper is not able get to the ball, does it score a goal? b) If the ball has a diameter of 0.220 m, how far above or below the top of the goal is the nearest part of the ball? c) What is the velocity of the ball when it reaches the goal? Answers: (a) GOALLLLLL!!! (b) 8.27 cm below the top, (c) 19.1 m/s @ 4.64°

3. Consider a ball undergoing a 2D projectile motion, whose position (unit: m) as a function of time (unit: s) is 3(t) = tî + (V3t – 5t²)ĵ, where t stands for time. (a) Find the initial launch angle of the projection. (b) Find the speed of the ball when it lands on the ground.

1. A rock is thrown off a cliff at an angle of 51 with respect to the horizontal. The cliff is 126 m high. The initial speed of the rock is 24 m/s. (a) Fill in the following: Vo Vox Voy || || ✓ m S ES = ES m (b) VX (c) V (d) In your notebook, draw a sketch of the problem. Select the direction along the along the vertical axis (y-axis) that is positive (upwards or downwards). Select the direction along the along the horizontal axis (x-axis) that is positive (left or right). Select an origin. Draw the vectors for Vo, Vox Voy" V, Vx, Vy, ax, a¸. Label on your diagram the initial and final positions of the rock x, y, and xƒ‚ Yf. (e) How high above the edge of the cliff does the rock rise? Ay= m 00 (f) How far has it moved horizontally when it is at maximum altitude? Δx= m (g) How long after the release does it hit the ground? ground= (h) What is the range of the rock? Ax total ✔m S (i) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 4 s.…

A spider crawling across a table leaps onto a magazine blocking its path. The initial velocity of the spider is 0.820 m/s at an angle of 31.0° above the table, and it lands on the magazine 0.0610s after leaving the table. Ignore air resistance. How thick is the magazine? Express your answer in millimeters.

1. A golfer hits a golf ball on a flat, horizontal surface with an initial velocity of 67.7 m/s @ 45°. Calculate the following: (e) The range of the ball. (f) The position (x,y) of the ball at t=1.0s. (g) The components of velocity of the ball (Vx, Vy) at 1.0s. (h) The velocity vector of the ball at 1.0s. (i) The velocity vector of the ball just as it hits the ground.

11. A person is standing 300 feet from the launch point of a hot air balloon. The hot air balloon starts to come back down at a rate of 18 feet per second. (a) What is the rate at which the distance between the person and the hot air balloon is changing at the moment the hot air balloon is 400 feet in the air? (b) What is the rate at which the angle of elevation (the angle created by the ground and the person's line of site to the balloon) is changing at the moment the hot air balloon is 400 feet off the ground?