Question

Nerve impulses travel at different speeds, depending on the type of fiber through which they move. The impulses for touch travel at 76.2 {\rm m/s}, while those registering pain move at 0.610 {\rm m/s}. Assume that person's brain is 1.81 m from his toe and that the impulses travel directly from toe to brain.1. If a person stubs his toe, find the time for the impulse for touch to reach his brain.t=___s2. If a person stubs his toe, find the time for the impulse for pain to reach his brain.t=___s3. Find the time delay between the pain and touch impulses.{\Delta t} =____s

Answer 1

a

`t_t = 0.024 \ sec`

b

`t_p = 2.93 \ sec`

c

`\Delta t = 2.91 \ sec`

Step-by-step explanation:

From the question we are told that

The speed of touch impulse is
`v_t = 76.2 m/s`

The speed of registering pain is
`v_p = 0.610 \ m/s`

The distance of brain from toe is
`d = 1.81 \ m`

The time for the touch to reach the brain is

`t_t = (d )/(v_t)`

substituting values

`t_t = (1.81 )/(76.2)`

`t_t = 0.024 \ sec`

The time for the pain to reach the brain is

`t_p = (d )/(v_p)`

substituting values

`t_p = (1.81 )/(0.610)`

`t_p = 2.93 \ sec`

The time delay between touch and pain is mathematically evaluated as

`\Delta t = t_p - t_t`

substituting values

`\Delta t = 2.93 - 0.024`

`\Delta t = 2.91 \ sec`