Object Motion and Graphing Calculators

The video tutorial explains how to solve a physics problem involving an object falling from a height of 210 feet. The object falls according to the equation h(t) = 210 - 16t^2, where t is time in seconds and h(t) is height in feet. The tutorial addresses two questions: the height of the object after 2.1 seconds and the time it takes for the object to hit the ground. The solution involves substituting values into the equation and using a calculator for precise results. Additionally, the problem is solved graphically using a graphing calculator to visualize the function and find the zero point.

What is the initial height from which the object is dropped?

• 250 feet

• 210 feet

• 150 feet

• 100 feet

What is the equation used to determine the height of the object over time?

• h(t) = 210 + 16t^2

• h(t) = 210 - 16t^2

• h(t) = 16t^2 - 210

• h(t) = 210t - 16

After 2.1 seconds, what is the height of the object?

• 200.00 feet

• 139.44 feet

• 150.00 feet

• 100.00 feet

What is the first step in solving for the time it takes for the object to hit the ground?

• Multiply both sides by 16

• Add 16t^2 to both sides

• Subtract 210 from both sides

• Divide both sides by 210

What is the approximate time it takes for the object to hit the ground?

• 2.5 seconds

• 3.62 seconds

• 4.0 seconds

• 5.0 seconds

What is the purpose of using a graphing calculator in this problem?

• To find the initial height

• To determine the mass of the object

• To verify the time it takes for the object to hit the ground

• To calculate the speed of the object

Which variable is used in the graphing calculator instead of 't'?

• y

• z

• x

• a

What is the range set for the x-axis on the graphing calculator?

• -10 to 10

• -2 to 8

• -5 to 5

• 0 to 10

What is the scale used for the y-axis on the graphing calculator?

• 30s

• 40s

• 10s

• 20s

What are the two methods used to solve the problem in the video?

• Algebraically and numerically

• Algebraically and graphically

• Graphically and experimentally

• Numerically and experimentally