Two soccer players, Mia and Alice, are running as Alice passes the ball to Mia. Mia is running due north with a speed of 6.20 m/sm/s. The velocity of the ball relative to Mia is 4.80 m/sm/s in a direction 30.0∘∘ east of south.

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

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?

Mr. M is walking to Mr. T’s house. He take the shortcut across an open field. His first displacement is 140 m[E35N]. He then walks 200.0m[E]. What is Mr. M’s total displacement?

A fighter plane moving 233 m/s horizontally fires a projectile with speed 59 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) 249 m/s Ob) 2660 m/s c) 288 m/s d) 286 m/s

Include figures/drawings when necessary!

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).

Ariane is riding her motorcycle, heading directly south. She drives south for 7.0 km, then turns west and drives west for 1.4 km. What is the direction of Ariane's resultant displacement vector?   11∘ south of west   16∘ south of west   11∘ west of south   16∘ west of south

A projectile is shot from a height 1.0 m above the ground with a speed of 30 m/s at an angle of 45.0∘, and it lands on top of a 13.0m tall building. a.) How far away is the building (in the horizontal direction)?

A boy decides to propose to his girlfriend in a hot air balloon. They are in the balloon, and it is moving 15 degrees south of east at a velocity 10 m/s relative to the air. When the balloon has a height of 90 m the boy is about to propose to but he drops the ring. The wind is also blowing to the east at 12 m/s relative to the ground. They now need to find the ring. a) What is the horizontal distance ( magnitude and direction) the ring lands on the ground from where it drops out of the balloon? b) What is the final velocity of the ring right before it hits the ground? c) Draw the vertical position vs time graph, velocity vs time graph, and acceleration vs time graph of the ring.