Respuesta :
Magnitude of acceleration = (change in speed) / (time for the change)
Change in speed = (speed at the end) - (speed at the beginning)
= (20 m/s) - zero
= 20 m/s
Time for the change = 25 s
Magnitude of acceleration = (20 m/s) / (25 sec)
= (20/25) m/s²
= 0.8 m/s²
A car’s speedometer reads 20 m/s after accelerating, from a standing start, for 25s. The magnitude of the car's acceleration is 0.8 m/s².
Acceleration can be defined as the change in the velocity of an object over an extended period of time. An object's acceleration is brought by a given amount of force which can either be through a push or a pull.
Given that:
- a car's speedometer accelerates with a given velocity of 20 m/s from rest
- the time taken t = 25s
Using the first equation of motion
- v = u + at
where;
- v = final velocity
- u = initial velocity
- a = acceleration
- t = time
Making acceleration (a) the subject of the formula; we have:
v - u = at
[tex]\mathbf{a = \dfrac{v - u}{t}}[/tex]
here;
- v = 20 m/s
- u = 0 m/s
- t = 25 s
[tex]\mathbf{a = \dfrac{(20 - 0) \ m/s}{25 \ s}}[/tex]
[tex]\mathbf{a = 0.8 \ m/s^2}[/tex]
Therefore, we can conclude that the magnitude of the car's acceleration is 0.8 m/s².
Learn more about acceleration here:
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