if the speed of a motorcycle from 10 km/hr to 50 km/hr in 9 seconds. what is its acceleration?
10,000 meters/ 3600 seconds = 2.78 meters/second
50,000 meters/ 3600 seconds = 13.89 meters/second
a = change in velocity/ change in time
= (13.89 - 2.78) / 9 m/s^2
To calculate the acceleration, we need to use the following formula:
Acceleration = (Change in velocity) / Time
First, we need to determine the change in velocity. In this case, the initial velocity (u) is 10 km/hr, and the final velocity (v) is 50 km/hr.
Change in velocity = (Final velocity) - (Initial velocity)
Change in velocity = 50 km/hr - 10 km/hr
Change in velocity = 40 km/hr
Next, we need to convert the time from seconds to hours since the velocities are given in km/hr. In this case, the time (t) is 9 seconds.
Time = 9 seconds
Time = 9/3600 hours (since there are 3600 seconds in an hour)
Now we can substitute the values into the formula to calculate the acceleration.
Acceleration = (Change in velocity) / Time
Acceleration = 40 km/hr / (9/3600) hours
To divide by a fraction, we can multiply by its reciprocal.
Acceleration = 40 km/hr * (3600/9)
Acceleration = 40 km/hr * 400
Acceleration = 16,000 km/hr^2
Therefore, the acceleration of the motorcycle is 16,000 km/hr^2.