BeautyQueen97
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Your teacher's car can go from rest to 25 m/s (≈55 mph) in 10 seconds. The car's velocity changes at a uniform rate. Below is a quantitative velocity vs time graph that represents the motion of the car. Determine the acceleration of the car.

Your teachers car can go from rest to 25 ms 55 mph in 10 seconds The cars velocity changes at a uniform rate Below is a quantitative velocity vs time graph that class=
Your teachers car can go from rest to 25 ms 55 mph in 10 seconds The cars velocity changes at a uniform rate Below is a quantitative velocity vs time graph that class=

Respuesta :

carlosego

If the speed of the car changes uniformly, as shown in the graph, this means that the acceleration is constant. As the acceleration is the derivative of the speed

[tex]a = \frac{\delta v}{\delta t}[/tex]

Then, this means that the acceleration is the slope of the equation of the line shown in the graph.

Then, we find the acceleration using the following equation:

[tex]a = \frac{v_f- v_i}{t_2-t_1}\\\\a = \frac{25-0}{10}\\\\a = 2.5\ m/s ^ 2[/tex]

Then, the acceleration of the car is [tex]2.5\ m/s^2[/tex]

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