# Thread: physics, acceleration, physics problem

1. ## physics, acceleration, physics problem

For a standard production car, the highest road-tested acceleration ever reported occured in 1993, when a Ford RS200 Evolution went from zero to 26.8 m/s (60 mi/h) in 3.275 s. Find the magnitude of the car's acceleration.
displayed by
m/s2
Repeat, for another car which goes from zero to 60 mi/h in 4.940 s.
calculated in m/s2

trying to understand all the variable involved. thanks for any help you can give here. appreciate it.

2. These are all very similar. Get those three equations in your head. You will see them all.

3. Originally Posted by rcmango
For a standard production car, the highest road-tested acceleration ever reported occured in 1993, when a Ford RS200 Evolution went from zero to 26.8 m/s (60 mi/h) in 3.275 s. Find the magnitude of the car's acceleration.
displayed by
m/s2
Repeat, for another car which goes from zero to 60 mi/h in 4.940 s.
calculated in m/s2

trying to understand all the variable involved. thanks for any help you can give here. appreciate it.
[SUVAT! . Motion caused by..., or where acceleration is constant.]

Evolution went from zero to 26.8 m/s (60 mi/h) in 3.275 s. Find the magnitude of the car's acceleration, displayed by m/s^2

V final, Vf = Vo +at -----------(i)

Given:
Vo = 0
Vf = 26.8 m/sec
t = 3.275 sec

Find a.

26.8 = 0 +a(3.275)
a = 26.8 /3.275 = 8.183 m/sec/sec -------------answer.

Repeat, for another car which goes from zero to 60 mi/h in 4.940 s.
calculated in m/s2

Vo = 0
Vf = 60mi/hr = 26.8m/sec
t = 4.94 sec

Vf = Vo +at
26.8 = 0 +a(4.94)
a = 26.8 /4.94 = 5.425 m/sec/sec --------------answer.

4. Originally Posted by TKHunny
These are all very similar. Get those three equations in your head. You will see them all.
Actually, I find that the following set of four equations is slightly more useful:
$x = x_0 + v_0t + \frac{1}{2}at^2$

$v = v_0 + at$

$v^2 = v_0^2 + 2a(x - x_0)$

This last equation is not strictly necessary, but including it means that students do not need to solve multiple equations in multiple unknowns (in 1-D motion, anyway.)
$x = x_0 + \left ( \frac{v_0 + v}{2} \right ) t$

-Dan

### for a standard production car, the highest road-tested acceleration ever reported occured in 1993, when a ford rs200 evolution went from zero to 26.8 m/s (60 mi/h) in 3.275 s. find the magnitude of the car's acceleration.

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