1. Word Problems With Quadratics

2. The height of a ball thrown straight up from 3m above the ground is modeled by h = -5t² + 14t + 3
After how long will the ball hit the ground?
What is the maximum height of the ball?

3. The price for a new bicycle that is being developed is modeled by P = C² - 460C + 42000
What are the prices where the shop owners would sell no bikes?
What is the ideal price to sell the most bikes?

4. The sum of two numbers is 27 and their product is 50
The sum of two numbers is 27 and their product is 50. What are the two numbers?

5. The length of a rectangle is 5cm more than its width
The length of a rectangle is 5cm more than its width. The area of the rectangle is 50cm².
Find the length, width, and perimeter

6. A ball is thrown upwards from a rooftop, 80m above the ground
A ball is thrown upwards from a rooftop, 80m above the ground. It will reach a maximum vertical height and then fall back to the ground. The height of the ball from the ground at time t is h, which is given by, h = -16t2 + 64t + 80.
What is the height reached by the ball after 1 second?
What is the maximum height reached by the ball?
How long will it take before hitting the ground?

7. A ball is shot from a cannon into the air with an upward velocity of 40 ft/sec. The equation that gives the height (h) of the ball at any time (t) is: h(t)= -16t2 + 40ft  
How long does it take the ball to reach a height of 20 feet? 

8. Tommy’s Custom T-Shirts produces t-shirts with customized logos
Tommy’s Custom T-Shirts produces t-shirts with customized logos. The company’s annual profit is modelled by P = -6t² + 60t + 234, where t represents the number of dozens of t-shirts produced, in thousands.
How many t-shirts does the company need to produce to break even?

9. A ball thrown from the top of a building follows the path h = -5(t + 2)((t – 7)
How tall is the building?