At time to = 0, particle A is released from rest at a height h = 10 m and falls down %3D vertically under the effect of the regular force of gravity as shown in the figure. At the same time t, = 0, particle B is launched from the ground level with a speed v, = 21 m/s at a distance x, = 15 m from where the vertical trajectory of particle A crosses the horizontal, as shown in the figure. Ignore air resistance. ho 0. В (a) Determine the angle 0 at which particle B must be launched for it to collide with particle A. The location of the collision is illustrated in the figure by the crossing of the dashed lines.

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 17.5 m/s. The cliff is h = 32.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? x0     m y0     m (b) What are the components of the initial velocity? v0x     m/s v0y     m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx   vy   (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x   y   (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? vf    m/s θ…

A baseball is hit from a height of 1.0 m at an angle of 27 degrees above the ground. It just barely clears a fence that is 4.0 m tall and 122 m away. What was the initial speed of the ball when it was hit? (ignore air resistance)

A projectile is fired from a point 50 meter from a tall cliff at 75 m/sec and at angle of 50 degrees above the horizontal. It will strike the cliff at a point h above the cliff base. What is h? What is the final speed of the projectile when it hits the cliff in the problem above?

A golfer is attempting to reach the elevated green by hitting his ball under a low-hanging branch in one tree A, but over the top of a second tree B. If the launch speed of the golf ball is vo = 115 mi/hr, what launch angle will put the first impact point of the ball closest to the pin? How far from the pin (distance d) is this impact point? VO 0 = 14 Answers: d = yd Jud. A 23' 88.62 15.96 69 yd B 69' yd 33' 92 yd 10 10 yd yd

In the figure, a stone is projected at a cliff of height h with an initial speed of 45.0 m/s directed at an angle 0 = 54.0 ° above the horizontal. The stone strikes at A, 5.64 s after launching. Find (a) the height h of the cliff, (b) the speed of the stone just before impact at A, and (c) the maximum height H reached above the ground. PATA PA (a) Number i Units (b) Number i Units (c) Number Units > >

A crazy, young boy on a sled is able to get up to an incredible speed of 22.5 m/s (yes, he is wearing a helmet!)along a frictionless horizontal surface while he approaches an icy hill with a vertical height of 11 m, as shown.He makes it to the top, and then fies of horizontally from the ledge of the hill. How far from the base of thehill does the boy land?

A stone is thrown vertically upward. On its way up it passes point A with a speed v, and point B, 4.00 m higher than A, with a speed of 1/3 v. The speed v is:

In a friendly game of handball, you hit the ball essentially at ground level and send it toward the wall with a speed of 26 m/s at an angle of 32∘ above the horizontal.How high is the ball when it hits the wall?