QuestionMay 20, 2025

A baseball travels d meters t seconds after being dropped from the top of a building. The distance traveled by the baseball can be modeled by the equation d=5t^2 Is the baseball traveling at a constant speed? Yes No

A baseball travels d meters t seconds after being dropped from the top of a building. The distance traveled by the baseball can be modeled by the equation d=5t^2 Is the baseball traveling at a constant speed? Yes No
A baseball travels d meters t seconds after
being dropped from the top of a building.
The distance traveled by the baseball can
be modeled by the equation d=5t^2
Is the baseball traveling at a constant
speed?
Yes
No

Solution
4.5(227 votes)

Answer

No Explanation 1. Identify the type of motion The equation d = 5t^2 represents a quadratic relationship between distance and time, indicating accelerated motion. 2. Determine if speed is constant Speed is the derivative of distance with respect to time. Differentiate d = 5t^2: \frac{dd}{dt} = \frac{d}{dt}(5t^2) = 10t. Since speed depends on t, it is not constant.

Explanation

1. Identify the type of motion<br /> The equation $d = 5t^2$ represents a quadratic relationship between distance and time, indicating accelerated motion.<br /><br />2. Determine if speed is constant<br /> Speed is the derivative of distance with respect to time. Differentiate $d = 5t^2$: $\frac{dd}{dt} = \frac{d}{dt}(5t^2) = 10t$. Since speed depends on $t$, it is not constant.
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