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A car takes 10 s to go from v = 0 m/s to v = 25 m/s at constant acceleration. If you wish to find the distance traveled using the equation d = 1/2at2 , what value should you use for a?
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Answer :

HamK

Initial velocity (u) = 0 m/s

Final velocity (v) = 25 m/s

time taken (t) = 10s

acceleration (a) = ?

Now,

Acceleration is rate of change of velocity, so formula is

a = (v - u)/t

a = (25 - 10)/10

a = 15/10

a = 1.5 m/(s^2)

Use this value of a.

Lanuel

The distance traveled by the car is 125 meters.

Given the following data:

  • Initial velocity, U = 0 m/s.
  • Final velocity, V = 25 m/s
  • Time, t = 10 seconds.

To find the distance traveled by the car:

First of all, we would determine the acceleration of the car by using the following formula;

[tex]Acceleration = \frac{V \; -\; U}{t}\\\\Acceleration = \frac{25 \; -\; 0}{10}\\\\Acceleration = \frac{25}{10}[/tex]

Acceleration = 2.5 [tex]m/s^2[/tex]

Next, we would solve for the distance traveled by the car:

[tex]D = \frac{1}{2} at^2[/tex]

Substituting the values, we have:

[tex]D = \frac{1}{2} at^2\\\\D = \frac{1}{2} (2.5)(10^2)\\\\D = (1.25)(100)[/tex]

Distance, D = 125 meters.

Therefore, the distance traveled by the car is 125 meters.

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