A man stands on the roof of a building of height 15.0 m and throws a rock with a velocity of magnitude 32.0 m/s at an angle of 29.0 ∘ above the horizontal. You can ignore air resistance. Calculate the horizontal distance from the base of the building to the point where the rock strikes the ground.

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 daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32° ramp, measured from the horizontal, at a speed of 40.0 m/s (144 km/h). The top of the ramp is at the same height as the roofs of the buses and each bus is 20.0 m long. Part (a)  How many buses can he clear?  Part (b)  By how many meters does he clear the last bus?

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 golfer hits a shot to the green that is elevated 2.80m above the point where the ball is struck. The ball leaves the club at a speed of 17.6m/s at an angle of 47.0degrees above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.

A ball is thrown from a height h = 15 m above the ground. When the ball leaves with initial speed of 5.0 m/s at an angle of a= 34° below the horizontal. What is the magnitude of the dlisplacement between the launching point and where the ball hits the ground ?

During a recent winter storm, bales of hay had to be dropped from an airplane to a herd of cattle below. Assume the airplane flew horizontally at an altitude of 222 m. with a constant velocity of 44.0m / s and dropped one bale of hay every 3.0 seconds. It is reasonable to assume that air resistance will be negligible for this situation. About how far apart from each other will the bales land on the ground? Answer in m (rounded to the nearest whole number)

A ball is shot from the ground into the air. At a height of 7.5 m, its velocity is v = 7.5i + 6.1j m/s, with i horizontal and j upward. (a) To what maximum height does the ball rise? (b) What total horizontal distance does the ball travel? What are the (c) magnitude and (d) angle (below the horizontal; give as negative) of the ball's velocity just before it hits the ground? (a) Number Units (b) Number Units (c) Number Units (d) Number Units

Juliet is standing in front of a wall and Romeo is at a window above her at a height of 3.61 m from the ground. Juliet tosses a box of candy straight up with speed 7.50 m/s from a height of 1.53 m above the ground. Ignore any effects due to air resistance. To receive full marks, you must include a diagram showing the physical situation and your choice of coordinate system. (a) Will the box reach Romeo? O Yes O No (b) If so, what is the box's speed when it reaches Romeo? If not, what initial speed must the rock have to reach Romeo? m/s

A criminal is escaping across a rooftop and runs off the roof horizontally at a speed of 5.1m/s, hoping to land on the roof of an adjacent building. Air resistance is negligible. The e horizontal distance between the two buildings is D, and the roof of the adjacent building is 2.0m below the jumping-off point. Find the maximum value for D.