A toy cannon shoots a plastic ball at a wall 5.51m away (Δx). The cannon shoots the ball at a speed of 15.72ms and an angle of 39.17∘. What is the vertical component of the initial velocity?   13.56ms   4.401ms   11.204ms   9.929ms   None of these is correct.

A person swings from a trapeze, projects herself at angle of 53 degrees, and is supposed to be caught by person B, whose hands are 6.1m above and 8.2m horizontally from persob A's launch point.  a. What initial speed must Person A have just to reach person B? b. If person B misses person A completely as she flies past, how far horizontally does person A travel, from her initial launch point, before landing in the safety net 8.6m below her starting point? PROVIDE ILLISTRATION

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.

A fighter plane moving 211.0 m/s horizontally fires a projectile with speed 47 m/s in a forward direction 30.0° below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?       a)  240 m/s   b)  283 m/s   c)  253 m/s   d)  278 m/s

6. A projectile is launched at ground level with an initial speed of 46.0 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.70 seconds later. What are the x and y distances from where the projectile was launched to where it lands? 7. A ball is thrown horizontally from the top of a 54.0-m building and lands 117.3 m from the base of the building. Ignore air resistance. (Assume the ball is thrown in the +x direction and upward to be in the +y direction.) (a) How long (in s) is the ball in the air?  s (b) What must have been the initial horizontal component of the velocity (in m/s)? (Indicate the direction with the sign of your answer.)  m/s (c) What is the vertical component of the velocity (in m/s) just before the ball hits the ground? (Indicate the direction with the sign of your answer.)  m/s (d) What is the velocity (in m/s) (including both the horizontal and vertical components) of the ball just before it hits the ground? magnitude…

A student standing on a cliff throws a stone from a vertical height d=8.0m above the level ground with velocity v0=16.2m/s at an angle θ=34∘ below the horizontal. It moves without air resistance. Use a Cartesian coordinate system with the origin at the stone's initial position. 1).With what speed, in meters per second, does the stone strike the ground?  2) which option is correct If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, then compare their impact velocities.   The impact velocity when throwing a stone above horizontal will be more than the case when throwing a stone below horizontal.   The impact velocities of the two situations will be the same.   More information is needed to conclude the relative strength of impact velocities.   The impact velocity when throwing a stone above horizontal will be less than the case when throwing a stone below horizontal.

A boy on a train moving at 20.0 m/s relative to the Earth throws a ball horizontally at a velocity of 30.0 m/s relative to the train.  1. What is the horizontal velocity of the ball relative to the Earth? 2. The ball hits the ground in .70 s.  How far does the ball travel horizontally relative to the Earth?

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.

10:58 > ▼ ▾ Expert Q&A A projectile is fired with speed up at an angle from the horizontal as shown in the figure (Figure 1). Part A Figure Part B R= H= Submit 0 Submit H 195] ΑΣΦΑ R Find the highest point in the trajectory, H. Express the highest point in terms of the magnitude of the acceleration due to gravity g, the initial velocity vo, and the angle 0. ▸View Available Hint(s) What is the range of the projectile, R? Express the range in terms of vo, 0, and g. View Available Hint(s) 195] ΑΣΦΑΤΟ F ? < 1 of 1 X ? 41 Done S Provide Fe Review

3. Penny drops a leaf into the water which runs east downstream. She measures the distance the leaf travels as 3.0 meters in 9.0 seconds. Penny then swims across the river, orienting herself perpendicular to the water, and lets the river current carry her downstream. She swims across the 57 m wide river in 47 seconds. a. Sketch the overall vectors of the velocities of the person to the water, the water to the ground and the person to the ground. Write the equation for the velocity of the person relative to the ground with the appropriate subscripts b. Determine the velocity of the water in the river relative to the ground. c. How far downstream will Olaf drift?" d. Determine the velocity of the person relative to the water (with direction) e. Determine the velocity of the person relative to the ground (with direction).