A vehicle moving with a speed of 60 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration?
Practice Questions
1 question
Q1
A vehicle moving with a speed of 60 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration?
2 m/s²
3 m/s²
4 m/s²
5 m/s²
Convert speed to m/s: 60 km/h = 16.67 m/s. Deceleration = (final velocity - initial velocity) / time = (0 - 16.67) / 5 = -3.33 m/s², approximately 3 m/s².
Questions & Step-by-step Solutions
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Q
Q: A vehicle moving with a speed of 60 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration?
Solution: Convert speed to m/s: 60 km/h = 16.67 m/s. Deceleration = (final velocity - initial velocity) / time = (0 - 16.67) / 5 = -3.33 m/s², approximately 3 m/s².
Steps: 7
Step 1: Understand the problem. A vehicle is moving at a speed of 60 km/h and comes to a stop in 5 seconds.
Step 2: Convert the speed from kilometers per hour (km/h) to meters per second (m/s). Use the conversion: 60 km/h = 60 * (1000 m / 1 km) * (1 h / 3600 s) = 16.67 m/s.
Step 3: Identify the initial velocity (speed before braking) and the final velocity (speed after stopping). Initial velocity = 16.67 m/s, Final velocity = 0 m/s.
Step 4: Use the formula for deceleration: Deceleration = (Final velocity - Initial velocity) / Time.
Step 5: Plug in the values: Deceleration = (0 m/s - 16.67 m/s) / 5 s.
Step 6: Calculate the deceleration: Deceleration = -16.67 m/s / 5 s = -3.33 m/s².
Step 7: The negative sign indicates deceleration. Therefore, the deceleration is approximately 3 m/s².
