An SUV, traveling west at 74.0 km/h, is being pursued by a police cruiser, moving at 90.9 km/h. (a) Find the velocity of the SUV (magnitude and direction) relative to the police cruiser. (Give the magnitude in km/h.) magnitude km/h direction --Select- O (b) Find the velocity of the police cruiser (magnitude and direction) relative to the SUV. (Give the magnitude in km/h.) magnitude km/h direction --Select- (c) How much time (in s) will it take the police cruiser to overtake the SUV if initially they are 250 m apart?

A girl delivering newspapers covers her route by traveling 1.75 blocks west, 3.75 blocks north, and then 6.75 blocks east.What her resultant displacement? - magnitude - direction (north of east)

A plane flies 479 km east from city A to city B in 45.0 min and then 950 km south from city B to city C in 1.10 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east).

Two velocity vectors are defined as follows: ₁ = 40.0 m/s, 50.0° cw from the +x axis v₂ = 30.0 m/s, 75.0° cw from the -y axis a) b) Sketch the vector ₁ on an x-y grid. Label any relevant angle. Calculate the x- and y-components of ₁. Write the vector in terms of its components using unit vector notation. c) d) e) v₂ – v- Calculate the x- and y-components of the change in velocity defined as A = Write the vector Av in terms of its components using unit vector notation. Sketch the vector A on an x-y grid. Define a relevant angle symbolically whose numerical value you will calculate in the next part. f) g) Calculate the magnitude and direction of the vector Av. h) Finally, write the vector Av in terms of its magnitude and direction. Sketch the vector v₂ on an x-y grid. Label any relevant angle. Calculate the x- and y-components of 7₂. Write the vector ₂ in terms of its components using unit vector notation.

On a day when the wind is blowing toward the south at 4 m/s , a runner logs west at 1.6 m/s s.what is the magnitude of of the air relative to the runner Calculate answer to one decimal.

Part A)  A projectile is launched with speed v0v0 and angle θθ. Derive an expression for the projectile's maximum height hh. Express your answer in terms of the variables v0v0, θθ, and appropriate constants.   Part B)  A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units.   Part C)  A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units.   Part D  A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units.   Part E)  A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units.

You drive 5.50 km in a straight line in a direction 25° East of North. (a) Find the distances you would have to drive straight East and then straight North to arrive at the same point. (This is equivalent to finding the components of the displacement along the East and North directions.) km East km North(b) Show that you still arrive at the same point if the East and North legs are reversed in order.

A strong wind blows due east with a constant speed of 50 mph. An airplane travels from one city to another which is due north, moving with a speed of 143 mph relative to the air. What is the speed of the airplane, in mph, relative to the ground? [Hint: Draw a diagram for the vector addition.]

What are the magnitudes of x- and y-components of vector C? O2 cm, -4 cm 4 cm, 2 cm O 1 cm, -3 cm O 1 cm, -1 cm. 3 cm, 1 cm y (cm) 2 1 x (cm)

A light plane attains an airspeed of 530 km/h. The pilot sets out for a destination 750 km due north but discovers that the plane must be headed 17.0° east of due north to fly there directly. The plane arrives in 2.00 h. What were the (a) magnitude and (b) direction of the wind velocity? Give the direction as an angle relative to due west, where north of west is a positive angle, and south of west is a negative angle. (a) Number (b) Number IN Units Units