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An object falls from the top of a building in free-fall. What will it's velocity be after 8 seconds?

Step-by-step Solution

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Solution

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Final answer to the problem

The speed of the object is $78.48$ m/s

Step-by-step Solution

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What do we already know? We know the values for acceleration ($a$), time ($t$), initial velocity ($v_0$) and want to calculate the value of velocity ($v$)

$a=-9.81\:m/s2,\:\: t=8\:s,\:\: v_0=0,\:\: v=\:?$

Learn how to solve sum rule of differentiation problems step by step online.

$a=-9.81\:m/s2,\:\: t=8\:s,\:\: v_0=0,\:\: v=\:?$

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Learn how to solve sum rule of differentiation problems step by step online. An object falls from the top of a building in free-fall. What will it's velocity be after 8 seconds?. What do we already know? We know the values for acceleration (a), time (t), initial velocity (v_0) and want to calculate the value of velocity (v). According to the initial data we have about the problem, the following formula would be the most useful to find the unknown (v) that we are looking for. We need to solve the equation below for v. We substitute the data of the problem in the formula and proceed to simplify the equation. Add the values 0 and 78.48.

Final answer to the problem

The speed of the object is $78.48$ m/s

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Main Topic: Sum Rule of Differentiation

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.

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