How to find the time it takes for a falling object to hit the floor

How to find the time it takes for a falling object to hit the floor

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine when a diver hits the water after jumping from a 32-foot platform. The position of the diver is represented by the equation s(t) = -16t^2 + 16t + 32, where t is time. The goal is to find the time when the diver's position is zero, indicating they have hit the water. By solving the quadratic equation, it is determined that the diver hits the water at t = 2 seconds.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does T represent in the context of the diver's jump?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation representing the position of the diver as a function of time?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you solve the equation to find the time when the diver hits the water?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the possible values of T obtained from the equation, and which one is valid?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

At what time does the diver hit the water according to the calculations?

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