Question

If a car starts from rest and moves with a uniform acceleration of 10m/s² for ten seconds, what is the distance it covers in the last one second?

Answer 1

To calculate the distance covered in the last one second, we need to determine the car's final velocity after ten seconds of uniform acceleration. We can then use this final velocity to calculate the distance covered in the last one second.

Given: Initial velocity, u = 0 m/s (starting from rest) Acceleration, a = 10 m/s² Time, t = 10 s

Using the equation of motion: v = u + at

Substituting the given values: v = 0 + 10 × 10 v = 100 m/s

Now, we can calculate the distance covered in the last one second using the formula:

Distance = (Final velocity - Initial velocity) × Time

Substituting the values: Distance = (100 m/s - 0 m/s) × 1 s Distance = 100 m

Therefore, the distance covered by the car in the last one second is 100 meters.