A monkey is sitting in a tree, after running away from the vet who needs to perform an important medical procedure on him. Now the vet’s assistant is trying to hit the monkey with a tranquilizer dart, so that he can be returned to the clinic safely. But every time she shoots the dart, the monkey drops from the tree to the ground at the same time. Where should the assistant aim to hit the monkey with the tranquilizer dart? Explain your answer qualitatively, including a clearly labeled sketch.

A soccer player kicks a ball at an angle of 62° from the horizontal with an initial speed of 26 m/s. (a)  Find the horizontal component of the ball’s velocity.  (b)  Find the vertical component of the ball’s velocity.  (c)  How high does the kicked ball rise before it starts to come down? (d)  How long does the ball stay in the air?  (e) How far downfield does the ball land?  can you please help me with (d) and (e)?

A projectile is fired horizontally to the north at a velocity of 40 m/s.

Water in a river flows with a component downstream (x-direction) of 6 m/s and a component across the stream (y-direction) of 4 m/s. A boat is attempting to cross the river. The velocity of the boat relative to the water is 20 m/s at an angle of 70 degrees with respect to the x-axis. Determine the velocity of the boat relative to the shore.

Below is an image of a cannon firing a projectile with an initial horizontal velocity. The location of the projectile at four points along its path are shown. Ignore air resistance. What can you say about the horizontal velocity of the object?

A glider aircraft initially traveling due west at 86.0 km/h encounters a sudden gust of wind at 40.0 km/h directed toward the northeast (see the figure below). What are the speed and direction of the glider relative to the ground during the wind gust? (The velocity of the glider with respect to the ground is the velocity of the gilder with respect to the wind plus the velocity of the wind with respect to the ground.)

Refer to the information in Ball Throw to answer this question. The magnitude of the initial velocity of the ball when it is thrown into the air at 60.0° is 28.6 m/s  24.7 m/s 16.5 m/s 14.3 m/s

An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce. 0 O 0 (a) Assuming the ball is always thrown with the same initial speed, at what angle should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 45.0° with no bounce (green path)? (b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw. tone-bounce tno-bounce

Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 11.5 m/s at an angle θ = 30.5° above horizontal. Assume the water acts as a projectile that moves without air resistance. Use a Cartesian coordinate system with the origin at the hose nozzle position, as shown. 1). Using v0, θ, and g, write an expression for the time, tmax, the water travels to reach its maximum vertical height.  2)

A farm truck moves due east with a constant velocity of 8.00 m/s on a limitless, horizontal stretch of road. A boy riding on the back of the truck throws a can of soda upward (see figure below) and catches the projectile at the same location on the truck bed, but 13.0 m farther down the road. (a) In the frame of reference of the truck, at what angle to the vertical does the boy throw the can? (b) What is the initial speed of the can relative to the truck? m/s (c) What is the shape of the can's trajectory as seen by the boy? O a straight line segment upward and then downward O a symmetric section of a parabola opening downward An observer on the ground watches the boy throw the can and catch it. (d) In this observer's frame of reference, describe the shape of the can's path. O a straight line segment upward and then downward a symmetric section of a parabola opening downward (e) In this observer's frame of reference, determine the initial velocity of the can. magnitude m/s direction 9…