If a car moving with a speed of 30 m/s applies brakes and comes to a stop in 5 seconds, what is the acceleration?

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Q: If a car moving with a speed of 30 m/s applies brakes and comes to a stop in 5 seconds, what is the acceleration?

Solution: Using the formula: acceleration = (final velocity - initial velocity) / time. Acceleration = (0 - 30) / 5 = -6 m/s².

Steps: 7

Step 1: Identify the initial velocity of the car. The car is moving at 30 m/s before applying brakes.
Step 2: Identify the final velocity of the car. After stopping, the car's final velocity is 0 m/s.
Step 3: Identify the time taken to stop. The car takes 5 seconds to come to a stop.
Step 4: Use the formula for acceleration: acceleration = (final velocity - initial velocity) / time.
Step 5: Substitute the values into the formula: acceleration = (0 m/s - 30 m/s) / 5 s.
Step 6: Calculate the result: acceleration = -30 m/s / 5 s = -6 m/s².
Step 7: Interpret the result. The negative sign indicates that the car is decelerating.