A racing car accelerates on a straight road, from rest to a speed of 50 m/s in 25 s. Assuming uniform acceleration of the car throughout, the distance covered in this time will be

To find the distance covered by the racing car, we use the equations of motion for uniform acceleration. The car starts from rest, so the initial velocity (u) is 0 m/s, the final velocity (v) is 50 m/s, and the time (t) is 25 s. First, we calculate the acceleration (a) using the formula a = (v - u) / t, which gives a = (50 - 0) / 25 = 2 m/s". Next, we calculate the distance (s) using the kinematic equation s = ut + (1/2)at". Substituting the values: s = (0 × 25) + (1/2 × 2 × 25") = 0 + 625 = 625 m. Alternatively, using the average velocity method where s = [(u + v) / 2] × t, we get s = [(0 + 50) / 2] × 25 = 25 × 25 = 625 m. Thus, the distance covered is 625 m.