A motorcycle accelerates from rest 5m/s until it reaches 72km/h.calculate the distance travelled by the motorcycle?
vf^2=vi^2 + 2ad solve for d. change km/h to m/s
To calculate the distance traveled by the motorcycle, we need to use the formula of motion:
d = (v² - u²) / (2a)
Where:
d = distance traveled
v = final velocity
u = initial velocity
a = acceleration
Given that the motorcycle accelerates from rest (u = 0) to a final velocity of 72 km/h (v = 72 km/h = 20 m/s), we can substitute these values into the formula:
d = (20² - 0²) / (2 * 5)
Simplifying the equation further:
d = (400 - 0) / 10
d = 400 / 10
d = 40 meters
Therefore, the motorcycle travels a distance of 40 meters.