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(Answer) MATH114N – Week 7 Assignment: Problem Solving with Quadratic Equations

QUESTIONS

Question 1

A ball is thrown vertically in the air with a velocity of 160ft/s. Use the projectile formula h= −16t2 + v0t to determine at what time(s), in seconds, the ball is at a height of 384ft.

Question 2

The hypotenuse of a right triangle is 10cm long. One of the triangle’s legs is three times the length of the other leg. Find the lengths of the three sides of the triangle. In case of non-integer answer(s), round your answer(s) to the nearest hundredth.

Question 3

The hypotenuse of a right triangle is 15cm long. One of the triangle’s legs is two times the length of the other leg. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.

Question 4

An arrow is shot vertically upward at a rate of 180ft/s. Use the projectile formula h= −16t2 + v0t to determine at what time(s), in seconds, the arrow is at a height of 420ft. Round your answer(s) to the nearest tenth of a second.

Question 5

An arrow is shot vertically upward at a rate of 250ft/s. Use the projectile formula h= −16t2 + v0t to determine at what time(s), in seconds, the arrow is at a height of 500ft. Round your answer(s) to the nearest tenth of a second.

Question 6

A ball is thrown vertically in the air with a velocity of 90ft/s. Use the projectile formula h= −16t2 + v0t to determine at what time(s), in seconds, the ball is at a height of 120ft. Round your answer(s) to the nearest tenth of a second.

Question 7

Nautical flags are used to represent letters of alphabets. The flag for the letter O consists of a yellow right triangle and a red right triangle joined together along their hypotenuse to form a square. The joint hypotenuse of the two triangles is three inches longer than a side of the square. Find the length of a side of the flag. Round your answer to the nearest tenth.

Question 8

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet.

Find the lengths of the three sides of the triangle.

Note: Enter your answer in radical form if applicable. Answers entered in decimal form will not be accepted.

ANSWERS:

Question 1

A ball is thrown vertically in the air with a velocity of 160ft/s. Use the projectile formula h= −16t2 + v0t to determine at what time(s), in seconds, the ball is at a height of 384ft.

Answer: 4 seconds, 6 seconds​

Question 2

The hypotenuse of a right triangle is 10cm long. One of the triangle’s legs is three times the length of the other leg. Find the lengths of the three sides of the triangle. In case of non-integer answer(s), round your answer(s) to the nearest hundredth.

Answer: ….

Question 3

To access all the answers and explanations (calculations) on how they were arrived at, click on the button below.

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