a truck running along a straight line increases its speed uniformly from 30m/s to 60m/s over a time interval 1 min find the uniform acceleration and the distance travelled during this time interval.
a=(V-Vo)/t = (60-30) / 60s = 0.5 m/s^2.
d = Vo*t + 0.5a*t^2
d = 30*60 + 0.25*(60)^2 = 2700 m.
To find the uniform acceleration of the truck, we can use the following formula:
Acceleration = (Change in velocity) / (Time interval)
In this case, the change in velocity is the difference between the final velocity and the initial velocity, and the time interval is given as 1 minute.
Change in velocity = 60 m/s - 30 m/s = 30 m/s
Time interval = 1 min = 60 s
Now we can calculate the uniform acceleration:
Acceleration = (30 m/s) / (60 s) = 0.5 m/s^2
Therefore, the uniform acceleration of the truck is 0.5 m/s^2.
To find the distance traveled during this time interval, we can use the following formula:
Distance = Initial velocity * Time interval + (1/2) * Acceleration * (Time interval)^2
In this case, the initial velocity is given to be 30 m/s and the time interval is 1 minute, which is equal to 60 seconds. The acceleration we calculated earlier is 0.5 m/s^2.
Plugging in the values:
Distance = (30 m/s) * (60 s) + (1/2) * (0.5 m/s^2) * (60 s)^2
Distance = 1800 m + 900 m = 2700 m
Therefore, the distance traveled by the truck during this time interval is 2700 meters.