this is a physics qustion im stuck on:
ingrid holds the womans record time for a marathon race of 2h 21min 6s for 42.195km. The mens record is held by Blake grison of 2h 6 min 50s. If they had been in the same race how much would blake win by.. find this in time as well as distance
Ingrid: 2h, 21min, 06s =
Blake-: 2h, 06min, 50s =
2h, 20min, 66s
2h, 06min, 50s
Diff. = 14min, 16s. = = 14.267min = Blake's winning margin.
Tb = 120 + 6 + 50/60 = 126.833min =
Blake's time.
Vb = d/Tb = 42,195m/126.833min = 332.681
m/min = Blake's speed.
d = 332.681m/min * 14.267min = 4746.4 m
=4.746 km. = Blake's margin.
To find out how much Blake would win by in terms of time and distance, we need to subtract Ingrid's time and distance from Blake's time and distance.
First, let's convert both times into a common format, such as seconds.
Ingrid's time is 2 hours, 21 minutes, and 6 seconds.
2 hours is equal to 2 * 60 * 60 = 7200 seconds.
21 minutes is equal to 21 * 60 = 1260 seconds.
Therefore, Ingrid's time in seconds is 7200 + 1260 + 6 = 8466 seconds.
Similarly, Blake's time is 2 hours, 6 minutes, and 50 seconds.
2 hours is equal to 2 * 60 * 60 = 7200 seconds.
6 minutes is equal to 6 * 60 = 360 seconds.
Therefore, Blake's time in seconds is 7200 + 360 + 50 = 7610 seconds.
Now, to find out the difference in time, we subtract Ingrid's time (8466 seconds) from Blake's time (7610 seconds).
7610 seconds - 8466 seconds = -856 seconds.
The negative sign indicates that Ingrid finished the race faster than Blake. To convert this to a positive time difference, we can take the absolute value: |-856| = 856 seconds.
Therefore, Blake would win by 856 seconds.
To find out the difference in distance, we subtract Ingrid's distance (42.195 km) from Blake's distance (42.195 km).
42.195 km - 42.195 km = 0 km.
Therefore, the difference in distance is 0 km. Blake and Ingrid would have covered the same distance.
In summary:
- Blake would win by 856 seconds in terms of time.
- Blake and Ingrid would have covered the same distance of 0 km.