Question 1

One way to measure the amount of energy that a moving object (such as a car or roller coaster) possesses is by finding its kinetic energy. The kinetic energy (E_k, measured in Joules) of an object depends on the object’s mass (m, measured in kg) and velocity (v, measured in meters per second) and can be written as $v=\sqrt{\frac{2E_k}{m}}$

What is the kinetic energy of an object with a mass of 1,000 kilograms that is traveling at 30 meters per second?

Reference: https://courses.lumenlearning.com/intermediatealgebra/chapter/read-applications-with-radical-equations/

Accepted Answer

450,000 Joules

Answer

4,500 Joules

Answer

4,500,000 Joules

Answer

45, 000 Joules

Question 2

A mound of gravel is in the shape of a cone with the height equal to twice the radius. Calculate the volume of such a mound of gravel whose radius is 3.633.63 ft. Use π=3.14.

The radius of a cone given it’s volume can be found with the following formula: $r=\sqrt[3]{\frac{3V}{2\pi}}$

Reference: https://courses.lumenlearning.com/collegealgebracoreq/chapter/applications-with-radical-functions/

Accepted Answer

Approximately 100 cubic feet

Answer

Approximately 10 cubic feet

Answer

Approximately 1000 cubic feet

Answer

Approximately 10,000 cubic feet

Question 3

The approximate height of a building or structure can be found out by dropping a ball from the top and recording the time it has taken the ball to reach the ground using a timer. The formula to be used is $t\ =\sqrt{\frac{h}{16}}$ ; where t = time in seconds and h = height in feet. If it takes the ball 3 seconds for the ball to reach the ground, what is the approximate height of the structure?

Accepted Answer

144ft.

Answer

12ft.

Answer

48ft.

Answer

9ft.

Question 4

A company finds that its cost C ( in pesos) per unit item of a pop it toy is given by the formula $t\ =\sqrt{\frac{h}{16}}$ , where n is the number of items produced. If the cost per unit item is Php 54, find the number of items produced.

Accepted Answer

100 pieces

Answer

900 pieces

Answer

1000 pieces

Answer

1900 pieces

Question 5

In an airplane flying above the earth, the approximate distance d (in miles) to the horizon is given by the equation $t\ =\sqrt{\frac{h}{16}}$ ' where a is the altitude of the plane in miles.

Determine the altitude of a plane (to the nearest tenth of a mile) if its distance to the horizon is 200 miles.

Accepted Answer

5 miles

Answer

50 miles

Answer

10 miles

Answer

100 miles

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