Question

a car is driving at 100 kilometers per hour. how far, in meters, does it travel in 2 seconds? give answer to nearest meter

Answer 1

Answer: In 2 seconds the car covered a distance of 55.56 meters.

Step-by-step explanation

Uniform rectilinear motion (also known as uniform linear motion or straight-line motion) is a type of motion in which an object moves along a straight line with a constant speed.

This means that the object's position changes by the same amount in a given period of time, regardless of the time that has elapsed. This type of motion is different from accelerated motion, in which the speed of an object changes over time. In uniform rectilinear motion, the speed of the object is constant, and the direction of motion does not change.

A car is driving at 100 kilometers per hour. how far, in meters, does it travel in 2 seconds? give answer to nearest meter

Data:

V = 100 km/h = 27.78 m/s

t = 2 s

d = ?

Since it asks us to calculate the distance in meters, we must convert from km/h to m/s.

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=100 \ \frac{\\ot{km}}{\\ot{h}}*\left(\frac{1000 \ m}{1\\ot{km}}\right)*\left(\frac{1\\ot{h}}{3600 \ s}\right)= 27.78 \ m/s } \end{gathered}$} }`

The uniform motion formula is: V=d/t

We clear for the distance, since it is the value that asks us to calculate.

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=(d)/(t) \iff \ d=v*t} \end{gathered}$}}`

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=27.78 \ \frac{m}{\\ot{s}}*2\\ot{s} } \end{gathered}$}}`

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=55.56 \ m} \end{gathered}$}}`

Answer: In 2 seconds the car covered a distance of 55.56 meters.