A pilot flies with a heading of 160 degrees and an airspeed of 250 km/h. a) how long should it take the pilot to fly to a town that is 1200km away on the heading chosen? b) There is a steady wind of 30 km/h from the direction 030 degrees. Calculate the ground velocity of the plane. c) How far and in what direction from the town, is the plane after the amount of time from part (a)?

A ball is thrown horizontally from a height of 5.50 m with an initial speed of 25.0 m/s. A) How long will it take the ball to reach the ground? B) At what horizontal distance from the point of release will it strike the ground? C) What will be the magnitude of its velocity when it strikes the ground? D) At what angle will it strike the ground?

A ball is thrown horizontally from a height of 5.50 m with an initial speed of 25.0 m/s. A) How long will it take the ball to reach the ground? B) At what horizontal distance from the point of release will it strike the ground? C) What will be the magnitude of its velocity when it strikes the ground? D) At what direction will it strike the ground?

In a circus, a “human cannonball” is launched from a cannon and lands in a net. The cannon releases him at the same height as the net. His initial velocity is 18.3 m/s in a direction 40.0° above the horizontal. a) For how much time will he be in the air? b) How far does he travel horizontally? c) What is the velocity upon impact? The circus manager from the previous question wants to make the stunt more dramatic by firing the stuntman through a hoop 9.0 m high then land in a safety net at the same height as the cannon. The cannon’s angle is changed to 45.0° and the velocity is increased to 
 21.0 m/s. The manager needs to know where to place the hoop and safety net. a) How far from the cannon should the safety net be placed? b) What is the time required to reach the height of the hoop? c) How far from the cannon should the hoop be placed?

1 ) A ball kicked from ground level at an initial velocity of 69 m/s and an angle θ with ground reaches a horizontal distance of 150 meters. a) What is the size of angle θ? b) What is time of flight of the ball?

An airplane sets a compass course due west and maintains an airspeed (speed relative to the air) of 220 km/hr. After flying for 0.500 hours, the pilot finds herself over a town 120 km west and 20.0 km south of her starting point. a)  Find the velocity of the wind (magnitude and direction). b)  If the air speed is the same, but the wind is 40.0 km/hr due south, in what direction should the pilot fly to travel due west?

At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are traveling 239 km/h in the northwest direction (45° west of north). a. Which of the following are the initial and final velocity vectors? SEE ATTACHMENTS b. Find the magnitude of the change in velocity. anser in km/h c. Find the change in direction of your velocity. Enter the angle in degrees where negative indicates north of west and positive indicates south of west. answer in degrees d. What is the magnitude of your average acceleration during the trip? answer in km/h^2

A frog leaps off the ground at an angle of 20 degrees to the horizontal.  It's in the air for .84  seconds before landing at the same height from which it took off.   a) Given this leap, what is the initial velocity of the frog? b) How far does the frog jump?

A rock was thrown horizontally from a 100.0 m high cliff. It strikes the ground 90.0 m from the base of the cliff. a) At what speed was it thrown? b) How long did it take to hit the ground. c) Neglecting wind resistance, which component of velocity is affected by gravity VERTICAL or HORIZONTAL? d) Sketch the trajectory of the rock as it falls to the ground and include the velocity vector at the beginning, midway down, and just before striking the ground. e) After you determine the total time in the air, you can then determine the final vertical velocity vector combined with the horizontal velocity determined earlier. Use these vectors to determine the resultant velocity vector just before landing. Recall using Pythagorean theorem to find the magnitude of the velocity vector and trigonometry for the angle below the horizontal that the resultant vector strikes at.

A boat is able to move at 9.8 m/s in still water. If the boat is placed on the south shore of a river (water current of 3.4 m/s [SE]), and the captain wants to head straight across to the north shore: a. In what direction should the captain point the boat? b. Calculate the time it will take to cross (the river is 135.0 m from the south to the north shore).