A car travelling at 50m per seconds from rest covers a distance of 10km in 40minutes calculate the acceleration.
I need the full ans
50t + 1/2 at^2 = 10000
plug in your value of t (seconds) to get a
To calculate the acceleration, we first need to convert the time from minutes to seconds, and the distance from kilometers to meters.
Given:
Initial velocity, u = 0 m/s (as the car starts from rest)
Final velocity, v = 50 m/s
Distance, s = 10 km = 10,000 m
Time, t = 40 minutes = 40 * 60 seconds = 2400 seconds
We can use the equation of motion:
v^2 = u^2 + 2as
Rearranging the equation, we get:
a = (v^2 - u^2) / (2s)
Substituting the known values:
a = (50^2 - 0^2) / (2 * 10,000)
Calculating further:
a = 2500 / 20,000
a = 0.125 m/s^2
Therefore, the acceleration of the car is 0.125 m/s^2.