Your friends wants to hit you with a water balloon. You are running North at a velocity of 12.8 m/s, your friend is running East of North at 14.7 m/s at an angle of 20.7 degrees. At what speed and angle should they throw the water balloon in order for it to hit you?

A speedboat moves west at 108 km/h for 22.6 min. It then moves at 60.0° south of west at 90.0 km/h for 10.0 min. What is the average speed for the trip? What is the magnitude of average velocity for the trip?

A soccer ball is kicked at a speed of 31.0 m/s at an angle of 41.0 degrees above the horizontal. The ball is in the air for 3.10 s.What is the speed the ball is traveling at when it lands (before the ground stops it)?

A plane releases a package from an altitude of 300 meters. At the time of release, both the plane and package are moving at 100 meters per second, directed at an angle of 20 degrees below the horizontal. How long is the package in the air? Find the magnitude and direction of the velocity of the package just before impact? Draw a sketch or diagram of the problem. Thank you for your help.

After flying for 20 min in a wind blowing 39 km/h at an angle of 22° south of east, an airplane pilot is over a town that is 60 km due north of the starting point. What is the speed of the airplane relative to the air?

If you take a man to the top of a 20 m tall building and throw him off with a velocity of 5 m/s directed horizontally, what’s the magnitude of his velocity upon hitting the ground (in m/s)? answers include: 22.4 m/s 19.8 m/s 9.8 m/s 20.4 m/s

An object is thrown off the top of a building with velocity 36 m/s at an angle of 23° with respect to the horizontal. The object travels a horizontal distance of 260 m before landing on the ground. (a)  How high is the building in meters?  (b)  What is the magnitude of the velocity of the object when it reaches the ground?  (c)  What is the direction of the object when it reaches the ground, in degrees from the positive x-axis?

A stone is thrown upward from a cliff at an angle of 35 degrees above the horizontal with a speed of 47 m/s. The stone hits the ground 5.0 s later. a) What is the x component of the stones initial velocity? v47.0m/s 35 O51.0m/s 041.0 m/s 38.5 m/s O270 m/s

An airplane is flying south at a speed Vi= 25m/s. It then accelerates in a direction 10 degrees north of east with magnitude a. After t seconds, the airplane's velocity is now pointing due east. What is the airplane's speed at this point? Please draw a tail to tip diagram of the problem.

You go watch your friend as she runs at a cross country meet. The first time she passes you, your friend runs by going due north at a speed of 4.40 m/s. You move to a different place on the course and twelve minutes after you saw her the first time, your friend runs past you again. This time she is traveling at a speed of 3.80 m/s in the direction 30.0° W of S. What is the direction of her average acceleration between those same two times?