3. A car moving at a velocity of 97 km/h suddenly changed his speed to 55 km/h. It took 7 seconds to slow down to 55 km/h with constant acceleration. How many kilometers has the driver covered while trying to slow down?
kindly use any formula reffering to speed, distance, & acceleration.
kindly use any formula reffering to speed, distance, & acceleration.
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Explanation:
Certainly! To find out how far the car traveled while slowing down, we can use this formula:
Distance = (Initial Speed + Final Speed) × Time / 2
- Initial Speed (when the car was going fast) = 97 km/h
- Final Speed (when the car slowed down) = 55 km/h
- Time taken to slow down = 7 seconds
Now, let's calculate:
Step 1: Convert speeds from km/h to meters per second (m/s). To do this, we divide by 3.6 because 1 km/h is about 0.27778 m/s.
Initial Speed = 97 km/h ÷ 3.6 ≈ 26.94 m/s
Final Speed = 55 km/h ÷ 3.6 ≈ 15.28 m/s
Step 2: Use the formula to find the distance traveled while slowing down:
Distance = (15.28 + 26.94) × 7 / 2
Distance = (42.22) × 7 / 2
Distance = 295.54 / 2
Distance ≈ 147.77 meters
So, the driver covered about 147.77 meters while slowing down.