A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is

A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is the distance covered during braking? (2023)

A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is the distance covered during braking? (2023)

Step 1: Identify the initial velocity of the car, which is 30 m/s.
Step 2: Identify the final velocity of the car, which is 0 m/s (since it comes to a stop).
Step 3: Identify the time taken to stop, which is 6 seconds.
Step 4: Calculate the acceleration using the formula: acceleration = (final velocity - initial velocity) / time. Here, it is (0 - 30) / 6 = -5 m/s².
Step 5: Use the distance formula: distance = initial velocity * time + 0.5 * acceleration * time^2.
Step 6: Plug in the values: distance = 30 * 6 + 0.5 * (-5) * (6^2).
Step 7: Calculate the first part: 30 * 6 = 180.
Step 8: Calculate the second part: 0.5 * (-5) * 36 = -90.
Step 9: Add the two parts together: 180 - 90 = 90 m.
Step 10: Conclude that the distance covered during braking is 90 meters.

Kinematics – The study of motion, specifically how distance, velocity, acceleration, and time relate to each other.
Equations of Motion – Using the equations of motion to calculate distance when initial velocity, time, and acceleration are known.