Suppose a motorcycle with uniform motion travels from a position of 5.0km[S] to a position of 20.0km[N] in 0.5h Find the motorcycle's
A) displacement
B) velocity
C) Distance Travelled
D) speed.
didn't it go 25km north?
In .5 hours?
To find the motorcycle's displacement, you need to subtract its initial position from its final position. In this case, the motorcycle travels from a position of 5.0 km[S] to a position of 20.0 km[N]. Since the directions are opposite, we need to take into account the signs.
The displacement can be calculated as follows:
Displacement = Final Position - Initial Position
Displacement = 20.0 km[N] - 5.0 km[S]
Displacement = 20.0 km[N] + 5.0 km[N] (changing the sign of subtraction to addition)
Displacement = 25.0 km[N]
Therefore, the motorcycle's displacement is 25.0 km[N].
To find the motorcycle's velocity, you need to divide its displacement by the time taken. The velocity is a vector quantity, so it has both magnitude and direction. The magnitude can be found by dividing the displacement by time.
Velocity = Displacement / Time
Velocity = 25.0 km[N] / 0.5 h
Velocity = 50.0 km/h[N]
Therefore, the motorcycle's velocity is 50.0 km/h[N].
To find the distance traveled, you can simply look at the magnitude of the displacement. Since distance is a scalar quantity, it does not take into account the direction. In this case, the distance traveled is the same as the magnitude of the displacement.
Distance Traveled = Magnitude of Displacement
Distance Traveled = |25.0 km[N]|
Distance Traveled = 25.0 km
Therefore, the motorcycle's distance traveled is 25.0 km.
To find the motorcycle's speed, you divide the distance traveled by the time taken. Speed is a scalar quantity, so it only has magnitude and does not take into account direction.
Speed = Distance Traveled / Time
Speed = 25.0 km / 0.5 h
Speed = 50.0 km/h
Therefore, the motorcycle's speed is 50.0 km/h.