The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. (Assume that you are approximately 1.8 m tall and that the nerve impulse travels at uniform speed.)

d = V * t,

1.8 m = 100 m / s * t,
t = 1.8/100 = 0.018 s.

general formula: V=distance/time

in this problem we are looking for the time, so adjusting our general formula we need to get time as our isolated variable.
time=distance/velocity
time: ?
distance: 1.8m
velocity: 100m/s
therefore: t=1.8m/100m/s
using your calculator you get:0.018s
the meters cancel out with each other as you are dividing. hope this helped, it can be confusing even for me.

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What if I am not given the distance? (it does not ask me to assume the height). Do I just assume it anyways?

Thanks!

Thank you,this thing really help me

Thank you so much for this!

h44843

Calculate the time it takes a pain signal to travel a distance of 1.50 m. The pain signals travel rather slowly at speeds of 0.610 m/s.

To estimate the time it takes for a nerve impulse to travel from your toe to your brain, we need to calculate the distance the impulse needs to travel.

Given:
Speed of nerve impulse = 100 m/s
Height of the human body = 1.8 m

Since the nerve impulse travels at a uniform speed, we can assume it moves at a constant rate of 100 m/s. Therefore, it will take a certain amount of time to cover a specific distance.

The distance the nerve impulse needs to travel is the height of the human body, which is 1.8 m.

To calculate the time it takes, we use the formula:
Time = Distance / Speed

Plugging in the values:
Time = 1.8 m / (100 m/s)

Calculating:
Time = 0.018 s

Therefore, it would take approximately 0.018 seconds for the nerve impulse to travel from your toe to your brain after stubbing your toe in the dark.

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