1. An airplane is climbing at an angle of 15° to the horizon, with the sun directly overhead. Its shadow is observed to be moving across the ground at 200 km/h. (a) What is the actual air speed of the plane? (b) How long does it take to increase the airplane's altitude by 1000 m?

7. A student goes for a jog at an average speed of 3.5 m/s. Starting from home, he first runs 1.8 km [E] and then runs 2.6 km [N 35° E]. Then he heads directly home. How long will the entire trip take?

3.31 m cannot be the answer?

6. If a river has a westward current of 2.30 m/s and you head due north across the river on a boat that has a speed of 3.5 m/s in still water, then what is speed of the boat relative to the shore? At what angle does it cross the river? Draw a picture and label the angle.

(a) A soccer player kicks a rock horizontally off a 35 m high cliff into a pool of water. If the player hears the sound of the splash 2.84 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. m/s (b) What If? If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 2.84 s after kicking the rock? m/s Need Help? Read It Watch It

3. It is September of 1936, and the Kenyan aviatrix Beryl Markham is attempting the first solo flight of the Atlantic from east to west in a specially outfitted Vega Gull, against the prevailing winds of the North Atlantic jet stream. Her plan is to fly from London to New York, proving the potential for commercial airline routes. Her initial heading (direction she points the nose of the plane) is 288 degrees. Note, in navigation, directions are measured clockwise from north At 10,000 feet, the winds are going southwesterly at 235 degrees with wind velocity of about 50 knots. The Vega Gull flies at a top airspeed of 150 knots (relative to still air). What direction is she flying relative to the ground? What will be the plane's groundspeed, i.e., the plane's speed relative to the ground?

An airplane has an air speed of 267 miles per hour and a compass heading of 140°. A steady wind of 54 miles per hour is blowing in the direction of 183°. What is the plane's true speed relative to the ground? What is its compass heading relative to the ground? W. 270° ... The groundspeed is miles per hour. (Round to the nearest integer as needed.) 270 240 300 320 072 N, 0° 340 1 opz 081 091 S, 180° 09 90 1 100 120 140 E, 90°

15.A crosswind affects the motion of an airplane. Plane (P) is pointed north but Air (A) blows east. (a) Find resultant velocity relative to earth VP/E and Angle a. (b) In which direction and at what speed plane should move to head due north.

2. A child standing at a third story window (25 meters above the ground) throws a baseball at an angle of 30° above the horizontal with an initial velocity of 20 m/s. How far from the building does the ball hit the ground?

1. When fired at this angle, how long will the cannonball remain in the air?