A car travels at a constant rate for 25 miles, going due east for one hour. Then it travels at a constant rate another 60 miles east for one hour. What is the instantaneous velocity at any time during the second hour of the trip?
35 mph east
42 mph east
60 mph east
85 mph east

Respuesta :

Answer:

The instantaneous velocity at any time during the second hour of the trip is 60 mph east

(C) is correct option

Explanation:

Given that,

Distance in first hour = 25 miles

Distance in second on hour = 60 miles

Instantaneous velocity :

Instantaneous velocity is equal to the distance divided by the time

We need to calculate the instantaneous velocity at any time during the second hour of the trip

Using formula of instantaneous velocity

.[tex]v = \dfrac{d}{t}[/tex]

Where, d = distance

t = time

Put the value into the formula

[tex]v = \dfrac{60}{1}[/tex]

[tex]v= 60\ miles/hr[/tex]

The direction of the instantaneous velocity is in east .

Hence, The instantaneous velocity at any time during the second hour of the trip is 60 mph east

The instantaneous velocity at any time during the second hour of the trip is 60 mph east.

Instantaneous velocity is the rate of change of position for a time interval.  The instantaneous velocity is the velocity at a particular time.

Instantaneous Velocity Formula of the given body at any specific instant can be formulated as:

  • V₁ = δx / δt
  • V₁ = Δx / Δt

where

Δx = change in position

Δt = small time interval

During the second hour of the trip, the instantaneous velocity at that particular time is

  • 60 / 1 = 60 mph east

The instantaneous velocity = 60 mph east

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