# A car starts from a velocity at 10 m/s with an acceleration of 2.0 m/s^2. Find the time needed for the car to reach 20 m/s.

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The car starts from a velocity of 10 m/s with an acceleration of 2.0 m/s^2. The time required for the car to reach 20 m/s has to be determined.

For an object starting from a velocity u and which is accelerated at a rate a for a time t, the final velocity after t is given by v = u + a*t.

Substitute the values given in the equation. This gives

20 = 10 + 2*t

=> 2*t = 20 - 10

=> 2*t = 10

=> t = 5

The time needed for the car to reach a velocity of 20 m/s starting from 10 m/s and accelerated at 2 m/s^2 is 5 seconds.

Since, the car starts at 10m/s

Therefore, u=10m/s

The final velocity is 20m/s

Therefore, v=20m/s

Since,** v=u+at**

Therefore, substituting the variable "t",we get,

**v-u/a = t **

Now, putting the values given, the time required is,

20m/s - 10m/s / 2 m/s^2 =**5 Seconds..**

Therefore, the time required is** 5 seconds**..