How to find the height of a ball and time it takes using velocity

The video tutorial explains how to determine the maximum height of a rock launched upwards using a position function. It demonstrates two methods: using a graphing calculator to graph the function and find the maximum point, and calculating the maximum height manually by finding when the velocity is zero. The tutorial provides step-by-step instructions for both methods, ensuring that learners can understand and apply the concepts effectively.

What is the purpose of adjusting the window settings on a graphing calculator when graphing the position function?

• To change the color of the graph

• To ensure the graph fits within the visible range

• To increase the speed of graphing

• To add labels to the axes

Which function on the calculator helps in finding the maximum point of the graph?

• Trace

• Zoom

• Second Calc

• Graph

What is the approximate maximum height of the rock as determined by the graphing calculator?

• 600 feet

• 500 feet

• 400 feet

• 300 feet

What is the velocity of the rock at its maximum height?

• 5 ft/s

• 0 ft/s

• 32 ft/s

• 160 ft/s

How do you find the time at which the rock reaches its maximum height without a calculator?

• By finding the derivative of the position function

• By setting the velocity function to zero

• By setting the position function to zero

• By graphing the velocity function