How do you isolate the t-variable in the acceleration formula

1. Oct 3, 2006

wScott

acceleration = delta-v / delta-t

How do I isolate delta-t?

2. Oct 4, 2006

andrevdh

via integration

$$\int \frac{1}{a}dv = \int dt \ + \ C$$

Last edited: Oct 4, 2006
3. Oct 4, 2006

quickslant

delta v / acceleration = delta t

4. Oct 4, 2006

Andrew Mason

If you are given the distance travelled, as I suspect is the case, and if there is constant acceleration, use:

$$v_0\Delta t + \frac{1}{2}\Delta v\Delta t = d$$

This is easy to see using a v-t graph (in which the area under the graph is the distance).

AM