A police officer is driving due north at a constant speed of 28 m/s relative to the ground when she notices a truck on an east-west highway ahead of her, traveling west at high speed. She finds that the truck's speed relative to her car is 41 m/s (about 92 mph). On a sheet of paper, sketch the vector triangle that shows how the truck's velocity relative to the ground is related to the police car's velocity relative to the ground and to the truck's velocity relative to the police car. The sketch need not be to scale, but the velocity vectors should be oriented correctly and bear the appropriate labels. What is the truck's speed, relative to the ground? Number i Units +

The drawing shows two cars traveling in different directions with different speeds. Their velocities are: VAG = velocity of car A relative to the Ground = 32.4 m/s, due east VBG = velocity of car B relative to the Ground = 21.0 m/s, due north The driver of car B looks out the window and sees car A. What is the velocity (magnitude and direction) of car A as observed by the driver of car B? In other words, what is the velocity VAB of car A relative to car B? North VBG Car B VAG East Car A (a) The magnitude VAB of the velocity of car A relative to car B is VAB = Number i Units (b) The angle that the velocity VAB makes with respect to due east is

A supply plane flies horizontally with a speed of 100 m/s and an altitude of 350 m. Use g = -10 m/s/s. A) What are the initial velocity components of an object that is dropped from the plane at the instant it is dropped? B) How fast is an object that is dropped from the plane traveling 7.5 seconds later?  C) What angle, below the horizontal, does the velocity vector of an object that is dropped from the plane make 7.5 seconds later?  D) How long does it take for an object that is dropped from the plane to hit the ground when air resistance is neglected?  E) How far does an object that is dropped from the plane travel in the horizontal direction?

A GPS tracking device is placed in a police dog to monitor its whereabouts relative to the police station. At time t₁ = 23 min, the dog's displacement from the station is 1.2 km, 33° north of east. At time t₂ = 57 min, the dog's displacement from the station is 2.0 km, 75° north of east. Find the magnitude and direction of the dog's average velocity between these two times. 1.4 m/s, 31° west of north 0.80 m/s, 42° west of north 1.6 m/s, 42° north of east 0.52 m/s, 88° north of east 0.67 m/s, 21° west of north

A bee flies east at a speed of 1.00 m/s relative to air. The wind has a speed of 5.0 km/hr with respect to Earth in the direction 25° west of south. How long will it take the bee to cross a field that is 500m wide? 18 min 16 min 6.3 min 20 min The bee can not cross the field.

A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is blowing due north with a speed of 40 mi/h. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the wind as a vector in component form. (b) Express the velocity of the jet relative to the air as a vector in component form. (c) Find the true velocity of the jet as a vector. (d) Find the true speed of the jet. (Round your answer to the nearest integer.) mi/h Find the direction of the jet. (Round your answer to one decimal place.) N °E

On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 810 km/h in the south direction.  Enter the x and y components of the velocity separated by a comma.

A car travels 40km due west and 50km in a direction 15° north of east. X component of the resultant displacement (in km) Y component of the resultant displacement (in km) = %3D Magnitude of the resultant displacement (in km) = %3D The direction of the resultant displacement (North of West) =

The speed of a cyclist along the horizontal road is 16 km/h, 12 km/h upward and 24 km/h downward. Once the cyclist went from the village to the town, and it took 3 hours to get to the town and to go back to the village. How far is the city from the village?

A jet is flying at a speed of 760 mi/hr relative to the air, and in the direction N 30°W. A wind is blowing 48 mi/hr in the direction N 45°E. (If needed, round to two decimal places.) a) Express the velocity of the wind as a vector in component form. b) Express the velocity of the jet relative to the air as a vector in component form. c) Find the true velocity of the jet as a vector in component form. d) Find the true speed of the jet. 35%