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

  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Acceleration
AI Thread Summary
A car accelerating from rest at a constant rate of 2.0 m/s² will travel 100 meters in 10 seconds. The calculation uses the formula d = vt + 1/2 at², where initial velocity (v) is 0, acceleration (a) is 2 m/s², and time (t) is 10 seconds. Substituting these values confirms the distance traveled is indeed 100 meters. The discussion emphasizes the straightforward application of the formula for calculating distance under constant acceleration. Understanding this concept is essential for mastering basic physics principles related to motion.
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
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
 
Mathematics news on Phys.org
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.

-
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top