A cleaner pushes a 4.50-kg laundry cart in such a way that the net external force on it is 60.0 N. Calculate the magnitude of his cart's acceleration.

A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of the building. Ignore air resistance. (a) How long is the ball in the air? (b) What must have been the initial horizontal component of the velocity? (c) What is the vertical component of the velocity just before the ball hits the ground? (d) What is the velocity (including both the horizontal and vertical components) of the ball just before it hits the ground?

Suppose Kevin, a 60.0-kg gymnast, climbs a rope. (a) What is the tension in the rope if he climbs at a constant speed? (b) What is the tension in the rope if he accelerates upward at a rate of 1.50 m/s²?

Graph each system of linear inequalities by hand. Tell whether the graph is bounded or unbounded, and label the corner points.

$$\left\{\begin{aligned} x & \geq 0 \\ y & \geq 0 \\ 2 x+y & \leq 6 \\ x+2 y & \leq 6 \end{aligned}\right.$$

Plot the point on a rectangular coordinate system and name the quadrant or axis in which the point lies. (3.5, -2)

You have probably seen films of astronauts floating freely in orbiting satellites. People often think astronauts are weightless because they are free of the gravity of the earth. Let us see if that explanation is correct.
(a) Typically, such satellites orbit around $400 \mathrm{~km}$ above the surface of the earth. If an astronaut weighs $750 \mathrm{~N}$ on the ground, what will he weigh if he is $400 \mathrm{~km}$ above the surface? (b) Draw the orbit of the satellite in part (a) to scale on a sketch of the earth.
(c) In light of your answers to parts (a) and (b), are the astronauts weightless because gravity is so weak? Why are they apparently weightless?

Solve the inequality by using tables or graphs.

$$2 x ^ { 2 } + 3 x + 6 \geq 5$$

Solve the given maximum and minimum problems.

A company finds that there is a net profit of $\$10$ for each of the first $1000$ units produced each week. For each unit over $1000$ produced, there is $2$ cents less profit per unit. How many units should be produced each week to net the greatest profit?

Use the given x-values to graph the function. Then graph its inverse. Describe the domain and range of the function.

$$f ( x ) = 0.5 ^ { x } ; x = - 2 , - 1,0,1,2$$

astronauts in orbit feel weightless because __________

A ball is kicked with an initial velocity of 16 m/s in the horizontal direction and 12 m/s in the vertical direction. (a) At what speed does the ball hit the ground? (b) For how long does the ball remain in the air? (c) What maximum height is attained by the ball?

What is the deceleration of the rocket sled if it comes to rest in 1.10 s from a speed of 1000.0 km/h? (Such deceleration caused one test subject to black out and have temporary blindness.)

A fireworks shell is accelerated from rest to a velocity of 65.0 m/s over a distance of 0.250 m. (a) Calculate the acceleration. (b) How long did the acceleration last?

(a) What net external force is exerted on a 1100.0-kg artillery shell fired from a battleship if the shell is accelerated at

$$2.40 × 10^4 m/s^2?$$

(b) What is the magnitude of the force exerted on the ship by the artillery shell, and why?