Find the time taken by the truck to move 1 metre

In summary, the time taken by the truck to move 1 metre can be calculated by dividing the distance (1 metre) by the truck's speed.
  • #1
chwala
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Homework Statement
See attached.
Relevant Equations
kinematics
Unless i am missing something; there is an error with the textbook

1707127143855.png


It ought to be ,

## t= \sqrt {\dfrac{1}{0.04}}= \sqrt 25 = 5## seconds.
 
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  • #2
Why ?
 
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  • #3
chwala said:
Homework Statement: See attached.
Relevant Equations: kinematics

Unless i am missing something; there is an error with the textbook

View attachment 339804

It ought to be ,

## t= \sqrt {\dfrac{1}{0.04}}= \sqrt 25 = 5## seconds.


If [itex]u = 0[/itex] then [tex]s = \tfrac12 at^2 \quad \Rightarrow \quad t = \sqrt{\frac{2s}{a}}[/tex] as the textbook has, not [itex]t = \sqrt{s/a}[/itex] as you are suggesting.
 
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pasmith said:
If [itex]u = 0[/itex] then [tex]s = \tfrac12 at^2 \quad \Rightarrow \quad t = \sqrt{\frac{2s}{a}}[/tex] as the textbook has, not [itex]t = \sqrt{s/a}[/itex] as you are suggesting.
Let me take a break! Cheers @pasmith
 
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FAQ: Find the time taken by the truck to move 1 metre

How do you calculate the time taken by the truck to move 1 metre?

To calculate the time taken by a truck to move 1 metre, you need to know the truck's speed. Use the formula: time = distance / speed. If the truck's speed is constant, simply divide 1 metre by the speed in metres per second.

What factors can affect the time taken by the truck to move 1 metre?

Several factors can affect the time, including the truck's speed, acceleration, road conditions, load weight, and any external forces such as wind or incline. If the truck is accelerating or decelerating, the calculation becomes more complex and may require additional physics equations.

How does acceleration impact the time taken by the truck to move 1 metre?

If the truck is accelerating, the time taken to move 1 metre will be shorter compared to moving at a constant speed. You would need to use kinematic equations to account for acceleration. For constant acceleration, the equation is distance = initial velocity * time + 0.5 * acceleration * time^2.

Can you provide an example calculation for a truck moving at a constant speed?

Sure! If a truck is moving at a constant speed of 2 metres per second, the time taken to move 1 metre would be calculated as follows: time = distance / speed = 1 metre / 2 metres per second = 0.5 seconds.

What if the truck starts from rest and accelerates uniformly, how do you find the time taken to move 1 metre?

If the truck starts from rest and accelerates uniformly, you can use the kinematic equation: distance = 0.5 * acceleration * time^2. Rearrange to solve for time: time = sqrt(2 * distance / acceleration). For example, if the acceleration is 1 metre per second squared, time = sqrt(2 * 1 metre / 1 metre per second squared) = sqrt(2) ≈ 1.41 seconds.

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