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.
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
The final velocity is 20m/s
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..