A plane is heading on a bearing of 200° with an air speed of 400 km/h when it is blown off course by a wind of 100 km/h from the northeast. Determine, the resultant ground velocity of the plane.

A river flows in the direction due north. The speed of the current is 5 km/hr. A boat with a speed of 20 km/hr starts crossing the river from the west bank directly in the east direction. What is the resultant velocity of the boat? (In other words, calculate the magnitude and the direction of the resultant velocity of the boat.) Round each answer to the nearest integer.

A particle initially located at the origin has an acceleration of 3.00j m/s² and an initial velocity of 5.00i m/s. Find: a) the vector position of the particle at any time b) the velocity of the particle at any time c) the coordinates of the particle at f= 2.00 s d) the speed of the particle at t = 2.00 s

In a coordinate system in which the direction to the right is positive, what are the distance and displacement of a person who walks 35 m to the left, 18 m to the right, and then 26 m to the left?

A ferryboat is traveling in a direction 22.0° north of east with a speed of 3.16 m/s relative to the water. A passenger is walking with a velocity of 2.53 m/s due east relative to the boat. What is (a) the magnitude and (b) the direction of the velocity of the passenger with respect to the water? Give the directional angle relative to due east. (a) Number i IN (b) Number MI Units Units

(a) A plane is initially flying at a speed of 340 mph east, when it runs into a stormy area where the wind blows at 100 mph in the direction 30.0° north of east. Calculate the new speed (in mph) and direction (in degrees north of east) of the plane relative to the ground. (Enter your answer accurate to at least one decimal place.) speed direction (b) What If? In what direction (in degrees south of east) should the plane aim to move so that its net speed is eastward despite the wind? ° south of east mph ° north of east (c) What would be the speed (in mph) of the plane relative to the ground in this case? mph Need Help? Read It

While scavenging for acorns before the big winter, Scrat the Squirrel leaves his tree house and skitters along 8.00 m at a heading of 40.0° SoE to collect two acorns. Then, he traipses off 10.0 m West to snag another acorn. Finally, he sees a big prize and hurriedly rushes 12.0 m at 20.0° EoN. If he must now make it back to his tree house, how far and in what direction should he head to go home? I know the answer I just don’t know how to get it. Answer: 6.14 m @ 87.8° NoE Thanks!!

A projectile is fired into the air from the top of a 200-m cliff above a valley. Its initial velocity is 60m/s at 60° above the horizontal. Determine the horizontal distance from the foot of the cliff to wherethe projectile lands. (Ignore any effects due to air resistance.)

A hockey player faces the goal, which is 15.0 m in front of him (due north). Instead of trying to make a direct shot, the player passes the puck to a teammate who is 6.00 m away in a direction 30.0° to the right of the direction to the goal. What final displacement is needed to score a goal?

A tennis ball is projected at ground level. After 2 seconds, it just clears a net 2.5 metres high at a horizontal distance of 30 metres. Find:i) The angle of projection and the initial velocity ii) The time of flight and the range