A Ball Drops from a Height of 6 Ft $\frac { 2 } { 5 }$

question 6

Multiple Choice

A ball drops from a height of 6 ft. With each bounce, the ball rebounds to $\frac { 2 } { 5 }$ of its height. The total vertical distanced traveled is given by $6 + 6 \left( \frac { 2 } { 5 } \right) + 2 ( 6 ) \left( \frac { 2 } { 5 } \right) ^ { 2 } + \ldots$ After the first term, the series is an infinite geometric series. Compute the total vertical distance traveled.

• A) The total vertical distance traveled is 10 ft.
• B) The total vertical distance traveled is 14 ft.
• C) The total vertical distance traveled is 4 ft.
• D) The total vertical distance traveled is 8 ft.

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Definitions:

Puzzle Boxes

Experimental devices used in animal behavior studies, particularly with cats and dogs, to test problem-solving abilities; subjects have to escape or retrieve a reward from the box.

Thorndike

An American psychologist who contributed to the understanding of learning and intelligence, best known for his work on the law of effect and puzzle boxes.

Strengthening Responses

The process of increasing the likelihood of a behavioral response by reinforcing it, similar to reinforcement.

Unconditioned Stimulus (UCS)

In classical conditioning, a stimulus that instinctively and effortlessly elicits a response without any previous conditioning.