A car experiences an average acceleration of 5.00 km/hr/s for 3.50 sec. What is the change in velocity of the car?
To find the change in velocity, we can use the equation:
change in velocity = acceleration x time
In this case, the acceleration is given as 5.00 km/hr/s and the time is given as 3.50 sec. However, we need to make sure the units are consistent before plugging them into the equation.
The given acceleration is in km/hr/s, but we need to convert it to a unit of velocity that matches the time unit of seconds. To do this, we need to convert km/hr to m/s since the SI unit for velocity is meters per second (m/s).
1 km is equal to 1000 meters and 1 hour is equal to 3600 seconds. Therefore, to convert km/hr to m/s, we can use the following conversion factors:
1 km/hr = (1000 m/ 1 km) * (1 hr / 3600 s)
1 km/hr is approximately equal to 0.2778 m/s.
So, the acceleration of 5.00 km/hr/s is equal to 5.00 * 0.2778 m/s^2.
Now that we have the acceleration in the correct unit, we can plug it into the equation:
change in velocity = (5.00 * 0.2778) m/s^2 * 3.50 s
Simplifying the calculation, we get:
change in velocity = 1.94 m/s.
Therefore, the change in velocity of the car is 1.94 m/s.
avg acceleration= changevelocity/time
watch units.