Questions: 16. 그림은 단위 시간당 속도 변화량이 일주 동을 하는 자동차를 나타낸 것이다.
1 초일 때 자동차의 속력은?
(1) 6 m / s
(2) 8 m / s
(3) 10 m / s
(4) 12 m / s
(5) 14 m / s
Transcript text: 16. 그림은 단위 시간당 속도 변화량이 일주 동을 하는 자동차를 나타낸 것이다.
1 초일 때 자동차의 속력은?
(1) $6 \mathrm{~m} / \mathrm{s}$
(2) $8 \mathrm{~m} / \mathrm{s}$
(3) $10 \mathrm{~m} / \mathrm{s}$
(4) $12 \mathrm{~m} / \mathrm{s}$
(5) $14 \mathrm{~m} / \mathrm{s}$
Solution
Solution Steps
Step 1: Identify the given information
At 0 seconds, the car's speed is 0 m/s.
At 1 second, the car's speed is 5 m/s.
At 2 seconds, the car's speed is 15 m/s.
Step 2: Determine the acceleration
The change in speed from 0 to 1 second is 5 m/s.
The change in speed from 1 to 2 seconds is 10 m/s.
The time interval is 1 second.
Acceleration (a) = Change in speed / Time interval
From 0 to 1 second: \( a = \frac{5 \, \text{m/s}}{1 \, \text{s}} = 5 \, \text{m/s}^2 \)
From 1 to 2 seconds: \( a = \frac{10 \, \text{m/s}}{1 \, \text{s}} = 10 \, \text{m/s}^2 \)
Step 3: Calculate the speed at 1 second
The speed at 1 second is given as 5 m/s.
This matches the given information, so no further calculation is needed.