Q2. A plane has an airspeed of 915 km/h. The pilot sets the heading at [S34°E]. There is an 84 km/h wind headed [W12°N]. [A7, C4] a) Draw and label the vector diagram for the wind and plane's velocities. b) Calculate the velocity of the plane as seen by an observer on the ground.

4. A ball is shot from a cannon at 50 m/s at an angle of 30° above the horizontal. a. Draw a labeled diagram with all relevant information. Note directions you chose to be +x and +y. b. How far has the ball traveled horizontally when it reaches its highest point in the flight? How high is it at this point? c. What is the speed of the ball at the highest point in its flight?

Geese migrate along north and south directions for well over a thousand kilometers in some cases traveling speeds up to about 100 km/h. If one such bird is flying at 100km/h relative to the air but there is a 34.0 km/h wind blowing from the west to east. A.) at what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground? Express answer in degrees  b.) how long will it take the bird to cover a ground distance of 500 km from north to south? ( Note: Even on cloudy nights many birds navigate using the earth's magnetic field to fix the north-south direction)

An owl is carrying a mouse to the chicks in its nest. The owl is at that time is 4 m west and 12 m above the center of the 35 cm diameter nest, and flying east at 3.6 m/s at an angle 34° below the horizontal when it accidentally drops the mouse. a.)Calculate the horizontal position of the mouse when it has fallen 12 m, assuming the nest is at the origin of a coordinate system with east being positive.   b.) How far from the east edge of the nest did the mouse fall, in centimeters?

1. AN ARROW IS SHOT AT 33 DEGREE ANGLE WITH HORIZONTAL. IT HAS A VELOCITY OF 25M/S. a. HOW HIGH WILL IT GO? b. WHAT HORIZONTAL DISTANCE WILL IT TRAVEL? c. TOTAL TIME IN AIR d. VELOCITY VECTOR AT MAX HEIGHT e. VELOCITY WHEN IT HITS THE GROUND

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).

Whale sharks swim forward while ascending or descending. They swim along a straight-line path at a shallow angle as they move from the surface to deep water or from the depths to the surface. In one recorded dive, a shark started 50 m below the surface and swam at 0.85 m/s along a path tipped at a 13° angle above the horizontal until reaching the surface. a. What was the horizontal distance between the shark's starting and ending positions?

A commercial jet sets its speed to 525 mph, and points its nose in the direction of 15 degrees west of north (-105 degrees from +x-axis).  However, a strong jet stream is blowing at 110 mph at a direction of 20 degrees.  The actual resultant velocity of the aircraft is the sum of these two vectors. a.  Find the final velocity b. For this airspeed and wind velocity, find the angle west of due north that the nose will need to point in order for the final velocity to be due north.

include a picture or description of your coordinate system (origin, positive direction).

A ball is thrown at an initial height of 90 feet at an initial velocity of 55 feet/second at an angle of 75 degrees. Given the parametric equations y = 16t2 + Vo · Sin(0)t + ho and r = Vo Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 3 seconds? feet. b. When will the object hit the ground? seconds. c. How far horizontally will the ball be when it hits the ground? feet. d. When will the ball be at its maximum height? seconds. e. What is the ball's maximum height? feet. f. How far horizontally will the ball be when it reaches its maximum height? feet