A basketball player grabbing a rebound jumps $76.0\text{~ cm}$ vertically. How much total time (ascent and descent) does the player spend in the top $15.0 \text{~cm}$ of this jump ? (The player seems to hang in the air at the top.)

Aviation A pilot is flying a plane at an altitude of $30,000 \mathrm{ft}$. The pilot begins a $1^{\circ}$ descent to an airport runway. How far is the airplane from the start of the runway (in ground distance)?

Sketch the graph of the given equation. $|z+2+2 i|=2$

Determine which lines, if any, are parallel or perpendicular. Line a:

$$y = \frac { 3 } { 5 } x + 1$$

, Line b:

$$5 y = 3 x - 2$$

, Line c:

$$10 x - 6 y = - 4$$

Find dy/dx for the following functions.

$$y = \frac { 1 - \cos x } { 1 + \cos x }$$

You drive on Interstate 10 from San Antonio to Houston, half the time at 55 km/h and the other half at 90 km/h. On the way back you travel half the distance at 55 km/h and the other half at 90 km/h. What is your average speed from San Antonio to Houston?

Two long, parallel transmission lines, 40.0 cm apart, carry 25.0-A and 75.0-A currents. Find all locations where the net magnetic field of the two wires is zero if these currents are in the same direction

A salamander of the genus Hydromantes captures prey by launching its tongue as a projectile: The skeletal part of the tongue is shot forward, unfolding the rest of the tongue, until the outer portion lands on the prey, sticking to it. The given figure shows the acceleration magnitude $a$ versus time $t$ for the acceleration phase of the launch in a typical situation. The indicated accelerations are $a_2=400 \mathrm{~m} / \mathrm{s}^2$ and $a_1=100 \mathrm{~m} / \mathrm{s}^2$. What is the outward speed of the tongue at the end of the acceleration phase?

A basketball player is standing on the floor 10.0 m from the basket. The height of the basket is 3.05 m, and he shoots the ball at a $40.0^{\circ}$ angle with the horizontal from a height of 2.00 m. (a) What is the acceleration of the basketball at the highest point in its trajectory? (b) At what speed must the player throw the basketball so that the ball goes through the hoop without striking the backboard?

A ball is shot vertically upward from the surface of a planet in a distant solar system. A plot of y versus t for the ball, where y is the height of the ball above its starting point and t=0 at the instant the ball is shot. What are the magnitudes of (a) the free-fall acceleration on the planet and (b) the initial velocity of the ball?

Nixon often surprised Americans in the policies that he supported. Which do you think was most surprising? Why?

Graph each inequality on a coordinate plane. $3 x-4 y \geq 16$

find an equation of the tangent line to the graph at the point

$$f(x)=4-x^2. (1,3)$$

Larry's car average 26 miles per gallon on the highway. He switches to a new brand of motor oil that is advertised to increase gas mileage. After driving 3000 highway miles with the new oil, he wants to determine if the average gas mileage has increased. State the appropriate null hypothesis

$$H_0$$

and alternative hypothesis

$$H_a$$

in case. Be sure to define the parameter.