11. A moderate wind accelerates a pebble over a horizontal xy plane with a constant acceleration â = (5.00 m/s²)î + (5.00 m/s²)j. At time t 0, the velocity (4.00m/s)i. What are the (a) magnitude and (b) anggle of its velocity when it has been displaced by 12.0 m parallel to the r axis?

1. A ball is thrown upwards with an initial velocity of ; = 44 m/s at an angle of above the horizontal. It travels a distance Ar = 75 m in the horizontal direction and lands at its original height. What is 0? (Hint 1: examine the ball's motion in both the x and y directions. Hint 2: you may need to use that sin(0) cos(0) = (1/2) sin(20). Hint 3: There are two solutions to this problem; try to find both.) Take g = 9.81 m/s² and show all your work.

9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance.   a. Find the maximum height, hℎ, in meters, reached by the arrow.  b.  In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.

4. A car is driving at a speed of 25 m/s on a horizontal road. Determine the minimum distance in whichthe car will stop in each of the following cases.A. On a rainy day where µS = 0.125.B. On a sunny day where µS = 0.650.

1. A kicked football leaves the ground at an angle 80 = 37.0" with a velocity of 20.0 m/s. Calculate: a. the maximum height b. the time of travel before the football hits the ground c. how far away it hits the ground? Assume the ball leaves the foot at ground level, and ignore air resistance and rotation of the ball.

2. A particle moves in uniform circular motion, over a horizontal xy- plane. At one instant it moves through the points (2.0 m, 4.0 m) with a velocity of -6.00i m/s and an acceleration of 18.0j m/s?. a) Draw the circular path of the particle and label the velocity vector and the acceleration vector. b) Calculate the x and y-coordinates of the center of the circular path. c) Calculate the period of rotation.

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 cannon is placed on high ground 24 ft above a target that is 1000 ft away horizontally. It fires a projectile upward at a 45° angle with an initial speed of vo ft/s. What value of vo is necessary for the projectile to hit the target? The acceleration due to gravity is g= 32 ft/s2. Select one: a. Vo 150 Ob. Vo V500 с. Vo 100/2 d. Vo 125 2 e. Vo 250

2. A car is traveling a road that includes two sides of a rectangle with the sides a and b with a constant speed. What is the speed if the magnitude of the average velocity of the car is v?