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How much time does a bus with an acceleration of 4.0 m/s2 take to go from a speed of 8 m/s to 25 m/s?

Step-by-step Solution

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Final answer to the problem

The time of the bus is $\frac{25}m/s$ s

Step-by-step Solution

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

$a=4.0\:m/s2,\:\: t_0=0,\:\: v=25\:m/s,\:\: v_0=0,\:\: x_0=0,\:\: t=\:?$

Learn how to solve linear motion problems step by step online.

$a=4.0\:m/s2,\:\: t_0=0,\:\: v=25\:m/s,\:\: v_0=0,\:\: x_0=0,\:\: t=\:?$

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Learn how to solve linear motion problems step by step online. How much time does a bus with an acceleration of 4.0 m/s2 take to go from a speed of 8 m/s to 25 m/s?. What do we already know? We know the values for acceleration (a), velocity (v), initial velocity (v_0) and want to calculate the value of time (t). According to the initial data we have about the problem, the following formula would be the most useful to find the unknown (t) that we are looking for. We need to solve the equation below for t. We substitute the data of the problem in the formula and proceed to simplify the equation. x+0=x, where x is any expression.

Final answer to the problem

The time of the bus is $\frac{25}m/s$ s

Exact Numeric Answer

$t=6.25$

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Main Topic: Linear Motion

Rectilinear movement is that movement whose trajectory is a straight line, in a single direction. The most common types of rectilinear motion are uniform rectilinear motion, when the velocity is constant, and non-uniform linear motion, which is when the acceleration is constant.

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