Algebra II/ Physics Review

Solving Trig Equations

100

Solve for x:     sinx=-1

Give your answer in degrees.

What is 270^o?

200

Solve for all values of x:     2cosx=0

Give your answer in degrees.

What is 90^o and 270^o?

300

Solve for all values of x:   tanx-3=-2

Give your answer in degrees.

What is 45^o?

400

Solve for all values of x:  2sinx+4=5

Give your answer in degrees.

What is 30^o?

500

Solve for all values of x: cos²x-cosx=0

Give your answer in degrees.

What is 0^o, 90^o, 270^o, and 360^o?

One Dimensional Motion

100

I drive 50 miles north and 30 miles south. What is my displacement?

What is 20 miles?

200

An automobile is moving when the driver brakes. If the initial velocity is +15.0 m/s and 5.0 s is required to slow down to +5.0 m/s, what was the car’s acceleration?

What is 2 m/s²?

300

If an automobile with a velocity of 5.0 m/s accelerates at a rate of 3 m/s² for 8 s, what is the final velocity?

What is 29 m/s?

400

A driver brings a car to a full stop in 4 s. If the car was initially traveling at 24 m/s, what was the acceleration?

What is -6 m/s²?

500

A stone is dropped from the top of a cliff. It is hits the ground after 7.5 s. How high is the cliff?

What is 276 meters?

Graphing Trig Functions

100

Rewrite 90^o in radian form.

What is pi/2? 

200

What is the amplitude of y=2sinx+1?

What is 2?

300

What is the vertical shift: y=-2sin(x+pi)-1? Give direction and units.

What is down 1?

400

What is the phase shift: y=4cos(x-pi/2)+3? Give direction and units.

What is right pi/2?

500

Identify the amplitude, phase shift, and vertical shift: y=-4cos(x+pi)+2

What is amplitude: 4, Phase Shift: left pi, vertical shift: up 2

Algebra II Wildcard!

100

Is the following a polynomial? -3x⁴-x+2x²+7

What is "yes"?

200

Simplify: 3x⁵-2x+9-(x⁵-4x²-1).

What is 2x⁵+4x²-2x+10?

300

Find the missing side of a right triangle with leg lengths of 6 and 8.

What is 10?

400

If sinx=12/13, what is cscx?

What is 13/12?

500

Solve for all values of x:   2sin²x-sinx=0

Give your answer in degrees.

What is 0^o, 30^o, 180^o, and 360^o?

Physics Wildcard!

100

What is the gravitational constant?

What is -9.8 m/s²?

200

What force is required to accelerate a 3,000 kg car at 1.5 m/s²?

What is 4,500 N?

300

A ball of 15 kg is attached to a string of 0.6 meter spun at 3 m/s. What is the centripetal force?

What is 225 N?

400

A person throws a ball upward into the air with an initial velocity of 25 m/s. How high will it go before it comes to rest?

What is 32 m?

500

Consider a truck weighing 16,500 N that is parked on a 30^o slope. Find the force causing the truck to roll down the hill.

What is 8,250 N?