A boat which travels 100 km (N), then 40 km (N), and finally 80 km (S). The entire trip takes 6.5 hours.
A.) Calculate the total displacement of the boat
B.) calculate the velocity of the boat
how isn't the displacement -220km ? d2-d1, -80-140 ?
Total displacement =100km(N)+40Km(N)-80Km(S)=60Km
time in seconds=6.5hrs*(60min/1hr)*(60 sec/1min)=
Velocity=displaceent/time=60 x10^-3 m/2.34 x10^4 s
To calculate the total displacement of the boat, we need to consider the direction as well as the distance traveled.
First, let's break down the distances traveled in terms of their direction:
Distance 1: 100 km north (N)
Distance 2: 40 km north (N)
Distance 3: 80 km south (S)
To calculate the total displacement, we need to find the net distance traveled in a straight line without considering the direction.
Net distance traveled = (Total distance traveled in one direction) - (Total distance traveled in the opposite direction)
Net distance traveled = (100 km + 40 km) - 80 km
= 140 km - 80 km
= 60 km
Therefore, the total displacement of the boat is 60 km.
Now let's calculate the velocity of the boat.
Velocity = Displacement / Time
Given that the entire trip takes 6.5 hours and the displacement is 60 km, we can calculate the velocity.
Velocity = 60 km / 6.5 hours
≈ 9.23 km/h
Therefore, the velocity of the boat is approximately 9.23 km/h.
To calculate the total displacement of the boat, we need to find the net distance and direction from the starting point to the end point.
A.) To find the total displacement, we can add up the distances traveled in each direction, taking into account the North direction as positive and the South direction as negative.
The boat travels 100 km (N), then 40 km (N), and finally 80 km (S).
The net displacement is the final distance in the North direction minus the distance in the South direction.
Net displacement = (100 km + 40 km) - 80 km
Net displacement = 140 km - 80 km
Net displacement = 60 km (N)
Therefore, the total displacement of the boat is 60 km to the North (N).
B.) To calculate the velocity of the boat, we need to divide the total displacement by the total time taken.
Total time taken = 6.5 hours
Velocity = Total displacement / Total time taken
Velocity = 60 km / 6.5 hours
Velocity = 9.23 km/h
Therefore, the velocity of the boat is approximately 9.23 km/h.