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A Quadratic Expression that Represents the Relationship between Distance and Time

7.5.4 A Quadratic Expression that Represents the Relationship between Distance and Time

7.5.4 • A Quadratic Expression that Represents the Relationship between Distance and Time

Cool Down

The expression 16t216t2 represents the distance in feet an object falls after tt seconds. Assume an object is dropped from a height of 906 feet.

1.

What is the height of the object in feet 2 seconds after it is dropped?

Compare your answer:

The object is at 842 feet 2 seconds after it’s dropped. 906−16(2)2=906−16(4)=906−64=842906−16(2)2=906−16(4)=906−64=842

2.

Write an expression representing the height of the object in feet tt seconds after it is dropped.

Compare your answer:

906−16t2906−16t2