The detailed answer provides calculations for determining the initial velocity of a car before applying brakes and the deceleration produced by the brakes.
(a) Initial velocity: To determine the initial velocity of the car before applying the brakes, we can use the equation vf = vi + at, where vf (final velocity) is 0 m/s (since the car stops), a is the acceleration due to braking, t is the time taken to stop. Given that the car stops in 25 s, the initial velocity can be calculated.
(b) Deceleration: The deceleration produced by the brakes can be calculated using the equation a = (vf - vi) / t, where vi is the initial velocity, vf is the final velocity (0 m/s), and t is the time taken to decelerate (25 s).
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