SOLUTION: Anne drove her car to Laguna from Manila. She was at kilometer 20 when she noted that it was 9:00 AM and his speedometer indicated 50 km/h. At 9:30 AM, she saw his speedometer at 9
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Question 1185336: Anne drove her car to Laguna from Manila. She was at kilometer 20 when she noted that it was 9:00 AM and his speedometer indicated 50 km/h. At 9:30 AM, she saw his speedometer at 90 km/h and he was at kilometer 55. What is her acceleration (a) in km/hr/min? (b) in m/sec? Answer by CPhill(1959) (Show Source):
You can put this solution on YOUR website! Here's how to calculate Anne's acceleration:
**(a) Acceleration in km/hr/min:**
1. **Calculate the change in velocity:**
Change in velocity (Δv) = Final speed - Initial speed
Δv = 90 km/h - 50 km/h = 40 km/h
2. **Calculate the change in time:**
Change in time (Δt) = 9:30 AM - 9:00 AM = 30 minutes
3. **Calculate the acceleration:**
Acceleration (a) = Change in velocity / Change in time
a = Δv / Δt
a = 40 km/h / 30 min
a = 4/3 km/hr/min or approximately 1.33 km/hr/min
**(b) Acceleration in m/s²:**
1. **Convert the change in velocity to m/s:**
Δv = 40 km/h * (1000 m/km) * (1 h/3600 s) = 100/9 m/s or approximately 11.11 m/s
2. **Convert the change in time to seconds:**
Δt = 30 min * 60 s/min = 1800 s
3. **Calculate the acceleration:**
a = Δv / Δt
a = (100/9 m/s) / 1800 s
a = 100 / (9 * 1800) m/s²
a = 1/162 m/s² or approximately 0.00617 m/s²
**Important Note:** The information about the distance traveled (from kilometer 20 to 55) is not needed to calculate the acceleration. Acceleration is solely determined by the change in velocity and the change in time.
