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.
Let's hear what you think the answers are.
Note that displacement and velocity are vectors
The distance traveled is 20 - (-5) = 25 km and motion is in a northerly direction
To find the motorcycle's displacement, we need to subtract the initial position from the final position. In this case, the initial position is 5.0 km[S] and the final position is 20.0 km[N]. Since south and north are opposite directions, we can think of it as subtracting south from north. Therefore, the displacement is:
Displacement = 20.0 km[N] - 5.0 km[S]
Displacement = 20.0 km + 5.0 km
Displacement = 25.0 km[N]
So, the motorcycle's displacement is 25.0 km[N].
To find the velocity, we need to divide the displacement by the time taken. The formula for velocity is:
Velocity = Displacement / Time
Given that the displacement is 25.0 km[N] and the time is 0.5 hours, we can calculate the velocity as follows:
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 travelled, we need to consider the total distance covered by the motorcycle. The distance travelled is the sum of the distances in the north and south direction. In this case, the motorcycle travels from the south position to the north position. The distance travelled can be calculated as follows:
Distance Travelled = |Displacement|
Distance Travelled = |25.0 km[N]|
Distance Travelled = 25.0 km
So, the motorcycle has travelled a distance of 25.0 km.
To find the speed, we need to divide the distance travelled by the time taken. The formula for speed is:
Speed = Distance Travelled / Time
Given that the distance travelled is 25.0 km and the time is 0.5 hours, we can calculate the speed as follows:
Speed = 25.0 km / 0.5 h
Speed = 50.0 km/h
Therefore, the motorcycle's speed is 50.0 km/h.