How Far Does a Car Travel in 10 Seconds at a Constant Acceleration of 2.0 m/s^2?

In summary, a car starting from rest accelerates at a constant rate of $2.0 m/s^2$ in a straight line. To calculate the distance traveled in 10 seconds, we use the formula $d=vt+\dfrac{1}{2}at^2$ with the given values $v=0$, $a=2\,m/s^2$, and $t=10$. The final result is 100 meters.
  • #1
karush
Gold Member
MHB
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eb2
A car, start from rest, accelerates in straight line at a constant rate of $2.0 m/s^2$
How far will the car travel in 10 seconds
use
$d=vt+\dfrac{1}{2}at^2\quad v=0\quad a=2\,m/s^2\quad t=10$
then
$$d=(0)(10\, s)
+\dfrac{1}{\cancel{2}}\left(\dfrac{\cancel{2}m}{\cancel{s^2}}\right)(10^2\cancel{s^2})
=100\, m$$

ok I know this relatively easy but it still new to me so hopefully ok
 
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  • #2
Yes, since you are given that formula, it is just a matter of putting the given numbers into the formula and doing the arithmetic. The distance traveled in 10 seconds is, as you say, 100 meters.

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What is Eb2 simple acceleration?

Eb2 simple acceleration is a scientific concept that describes the change in velocity of an object over time. It is a measure of how quickly an object's speed is increasing or decreasing.

How is Eb2 simple acceleration calculated?

Eb2 simple acceleration is calculated by dividing the change in velocity by the change in time. The formula for calculating simple acceleration is: a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

What are the units of measurement for Eb2 simple acceleration?

Eb2 simple acceleration is typically measured in meters per second squared (m/s^2) in the metric system and feet per second squared (ft/s^2) in the imperial system.

What is the difference between Eb2 simple acceleration and Eb2 constant acceleration?

The main difference between Eb2 simple acceleration and Eb2 constant acceleration is that simple acceleration only takes into account the initial and final velocities, while constant acceleration also considers the change in velocity over time. In other words, constant acceleration takes into account the acceleration rate, while simple acceleration does not.

What are some real-life examples of Eb2 simple acceleration?

Some real-life examples of Eb2 simple acceleration include a car accelerating from a stop sign, a ball being thrown into the air, and a roller coaster going down a hill. In each of these examples, the speed of the object is changing over time, resulting in simple acceleration.

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