An athlete finished the 100 meter race in 10sec. What was his average speed? acceleration? Acceleration time? Acceleration distance
Help with few questions already got the
already got the first two
V=d/t
=100m/10s
=10m/s
and
Acceleration= Vf-Vi/t
=10m/s-0/10s
=10m/s^2
how to find the other two, the acceleration time and the acceleration distance? please help
He clearly did not accelerate at 10 m/s^2 for the whole 10 seconds, or the distance covered would have been 1/2 at^2 = 500m and his top speed would have been 100m/s.
So, if he accelerated smoothly from 0-12 m/s over t seconds, then a = 12/t m/s^2
So we have
(1/2)(12/t)t^2 + 12(10-t) = 100
6t+120-12t = 100
-6t = -20
t = 10/3 s
He accelerated for 10/3 seconds at 18/5 m/s^2
The teacher also give the athlete's top speed to be 12m/s, dunno if this will be helpful, but still need to reconsider I guess
To find the acceleration time, you need to know the initial velocity (Vi) and the final velocity (Vf) of the athlete during the race. Without that information, it is not possible to determine the acceleration time.
Similarly, to find the acceleration distance, you would need to know either the initial velocity or the final velocity, along with the time it took for the athlete to accelerate. Without this information, it is not possible to calculate the acceleration distance.
If you have additional details about the initial or final velocities for the athlete during the race, please provide that information so that I can assist you further in finding the acceleration time and acceleration distance.