The speed of a motorcycle increases from 10.0 km/hr to 50.0 km/hr in 9.0 seconds. What is the acceleration?
well, it increased by 40 km/hr in 9 s, so the acceleration is
40/9 km/(hr-s)
Not the usual units, so let's make everything meters and seconds
40/9 km/hr-s * 1000m/km * 1hr/3600s = 1.234 m/s^2
9+4
the speed of a train increases from 100km/hr to 250km/hr in 5 min what is the acceleration
To find the acceleration, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity (u) = 10.0 km/hr
Final velocity (v) = 50.0 km/hr
Time (t) = 9.0 seconds
First, let's convert the velocities from km/hr to m/s since the unit of time is in seconds.
1 km/hr = 1000 m/3600 s = 5/18 m/s
So, the initial velocity in m/s (u) = 10.0 km/hr * 5/18 m/s = 50/18 ≈ 2.78 m/s
And the final velocity in m/s (v) = 50.0 km/hr * 5/18 m/s = 250/18 ≈ 13.89 m/s
Now, we can substitute the values into the formula:
acceleration = (13.89 m/s - 2.78 m/s) / 9.0 s
Simplifying:
acceleration = 11.11 m/s / 9.0 s
acceleration ≈ 1.23 m/s²
Therefore, the acceleration of the motorcycle is approximately 1.23 m/s².