If a car moving with a speed of 30 m/s applies brakes and comes to a stop in 5 s

Practice Questions

Q1
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?
  1. -6 m/s²
  2. -5 m/s²
  3. -4 m/s²
  4. -3 m/s²

Questions & Step-by-Step Solutions

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?
Correct Answer: -6 m/s²
  • 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.
  • Acceleration – Acceleration is the rate of change of velocity over time, calculated using the formula: acceleration = (final velocity - initial velocity) / time.
  • Kinematics – This question involves basic kinematic equations that relate speed, time, and acceleration.
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