A vehicle moves in a straight line with an
acceleration of 5 km/h^2.By how much does the speed change each second?Answer in units of km/h
5 km/h² =5000/3600•3600=3.86•10^-4 m/s²
Each second the speed is changed by 3.86•10^-4 m/s
To solve this question, we need to find out how much the speed of the vehicle changes in one second.
Acceleration is defined as the rate of change of velocity. In this case, we are given the acceleration as 5 km/h^2, which means the velocity of the vehicle is increasing by 5 km/h every hour.
Now, we need to find out how much the velocity changes in one second. Since there are 3600 seconds in an hour, we can convert the given acceleration from km/h^2 to km/s^2.
1 km/h = 1 km/3600 s
1 km/h^2 = 1 km/3600 s^2
So, the acceleration of 5 km/h^2 can be converted to km/s^2 as follows:
5 km/h^2 = 5 km/3600 s^2
Now, we know that:
Acceleration = Change in velocity / Time
Rearranging the equation, we get:
Change in velocity = Acceleration × Time
In this case, the time is 1 second.
Change in velocity = 5 km/3600 s^2 × 1 s = 5/3600 km/s
Therefore, the speed of the vehicle changes by 5/3600 km/s each second.