The Acceleration of a Race Car During the First 25

question 3

Multiple Choice

The acceleration of a race car during the first 25 seconds of a road test is modeled by where t is the number of seconds since the test began. Assume the velocity and distance were both zero at the beginning of the road test. Calculate, to three decimal places, the average acceleration during the first 25 seconds of the road test.

• A) 1.150 ft/sec²
• B) 5.695 ft/sec²
• C) 19.930 ft/sec²
• D) 4.445 ft/sec²
• E) 13.680 ft/sec²

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Definitions:

Common Difference

The gap between consecutive numbers in an arithmetic progression.

Partial Sum

The sum of a specified sequence of terms up to a certain number in the sequence.

Negative Exponent

Indicates that the base of the exponent should be reciprocated and the exponent made positive.

Arithmetic Sequence

A series where each number following the initial one is derived by adding a fixed value to the term before it.