Answer :
Final answer:
The time it will take for the car to stop when brakes are applied is 3.2 seconds. This is determined by using the physics formula for deceleration and substituting in the given initial velocity and rate of deceleration.
Explanation:
The problem you've outlined is a common physics question that relates to linear deceleration. We can solve it by using the physics formula for deceleration which is: Final Velocity = Initial Velocity - (Deceleration x Time).
Since the car will come to a stop, the final velocity will be 0 m/s. The initial velocity is given as 16 m/s and deceleration rate is given as 5.0 m/s^2. By substituting these into the formula, we have: 0 = 16 - 5.0t. Simple rearrangement of this equation gives us the time taken (t) to stop as: t = 16 / 5.0 = 3.2 seconds.
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