Answer:
4.
Distance:
Total distance traveled is the sum of the distances for each leg of the journey:
Distance = 100 + 200 + 150 + 50 + 75 + 400 + 25 = 1000 m
Therefore, the person traveled a total distance of 1000 m.
5.
Displacement:
Displacement is the straight-line distance from the starting point to the ending point, taking into account direction.
To find the displacement, we need to add up all the distances traveled in the North direction and subtract the distances traveled in the South direction:
Displacement = (100 + 50 + 75) - (200 + 150 + 400 + 25) = -550 m
The negative sign indicates that the person ended up 550 m South of the starting point.
6.
Speed:
Speed is the distance traveled divided by the time it took to travel that distance:
Speed = Distance / Time
The total time taken is 500 seconds, and the total distance traveled is 1000 m, so:
Speed = 1000 / 500 = 2 m/s
Therefore, the person's average speed was 2 m/s.
7.
Velocity:
Velocity is the displacement divided by the time it took to travel that distance:
Velocity = Displacement / Time
The displacement is -550 m, and the total time taken is 500 seconds, so:
Velocity = -550 / 500 = -1.1 m/s
The negative sign indicates that the person was traveling Southward.
Therefore, the person's average velocity was -1.1 m/s.
8.
Time to walk a metric mile:
A metric mile is 1609.34 m.
The person's average speed was 2 m/s, so the time it should take to walk a metric mile is:
Time = Distance / Speed = 1609.34 / 2 = 804.67 seconds
Therefore, it should take the person 805 seconds or 13 minutes and 25 seconds to walk a metric mile.
9.
Percent error:
The actual time taken to walk a metric mile was 880 seconds. The percent error is:
% Error = [(Theoretical Time - Actual Time) / Theoretical Time] x 100%
% Error = [(805 - 880) / 805] x 100% = -9.3%
The negative sign indicates that the actual time taken was faster than the theoretical time. The percent error is 9.3%.
10.
Acceleration of a Porsche 911 GT3:
The acceleration of a Porsche 911 GT3 is reported to be 0-60 mph in 2.7 seconds.
To convert this to mph/s, we need to divide the change in velocity (60 mph) by the time (2.7 s):
Acceleration = 60 / 2.7 = 22.2 mph/s
Therefore, the acceleration of a Porsche 911 GT3 is 22.2 mph/s.
11.
Time to reach top speed:
The top speed of a Porsche 911 GT3 is reported to be 198 mph.
Starting from 60 mph, the change in velocity required to reach the top speed is:
Change in velocity = 198 - 60 = 138 mph
To find the time it takes to reach this change in velocity, we can use the following equation:
Change in velocity = Acceleration x Time
Solving for time:
Time = Change in velocity / Acceleration = 138 / 22.2 = 6.2 seconds
Therefore, it should take the Porsche 911 GT3 6.2 seconds to reach its top speed if it starts from 60 mph.