An airplane flying due north has an air speed of 500 m/h. There is a northwesterly wind of 60 km/h. Find the true speed and direction of the plane relative to the ground.

The Marine Club at Westview Middle School purchased an aquarium. The aquarium is in the shape of a cube with a side length of $2^{4}$ inches. Use the questions to find the amount of water the aquarium will hold. Write a multiplication expression to represent the volume of the aquarium.

An airplane flying horizontally at a constant speed of $350 \mathrm{~km} / \mathrm{h}$ over level ground releases a bundle of food supplies. Ignore the effect of the air on the bundle. If the airplane's speed were, instead, $450 \mathrm{~km} / \mathrm{h}$, would the time of fall be longer, shorter, or the same?

An airplane flying horizontally at a constant speed of 350 km/h over level ground releases a bundle of food supplies. Ignore the effect of the air on the bundle. What is the bundle's initial vertical component of velocity?

An airplane is flying at 150 mi/h (its speed in still air) in a direction such that with a wind of 60.0 mi/h blowing from east to west , the airplane travels in a straight line southward. (a) What must be the plane's heading (direction) for it to fly directly south? (b) If the plane has to go 200 mi in the southward direction, how long does it take?

Show that the points (-2,6,0), (4,9,1) and (-3,2,18) are the vertices of a right triangle.

Airplane course and ground speed,An airplane is flying in the direction $140^{\circ}$ with an airspeed of $500 \mathrm{mi} / \mathrm{hr}$, and a $30 \mathrm{mi} / \mathrm{hr}$ wind is blowing in the direction $65^{\circ}$. Approximate the true course and ground speed of the airplane.

Flying with a tailwind, a bird flew at a ground speed of 3 mi/h. Flying the same path against the same wind the bird travels at a ground speed of 1.5 mi/h. What is the bird's air speed? What is the wind speed?

A bird flying west has an air speed of 12 km/h. If there is a southeasterly wind of 5 km/h, find the true speed and direction of the bird relative to the ground.

A marble rolls off a tabletop 1.0 m high and hits the floor at a point 3.0 m away from the table's edge in the horizontal direction. (a) How long is the marble in the air? (b) What is the speed of the marble when it leaves the table's edge? (c) What is its speed when it hits the floor?

A trapper walks a $5.0-\mathrm{km}$ straight-line distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper's displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?

A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use the analytical method to determine the following: (a) Find his net displacement vector. (b) How far is the restaurant from the post office? (c) If he returns directly from the restaurant to the post office, what is his displacement vector on the return trip? (d) What is his compass heading on the return trip? Assume the +x-axis is to the east.

The velocity of an object is zero at a given instant of time. Is it possible for the object's acceleration to be zero at this time? Explain.

A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.