# Force from Velocity Vs Time Graph?

I thought it wasn't possible to determine the force on an object from this kind of graph?

### 1 Answer

- billrussell42Lv 71 month agoFavourite answer
since mass is fixed, assumed, then force is proportional to acceleration.

you can't determine actual force without mass value, but you can determine min, max, zero, etc.

acceleration is the derivative of the velocity graph, a fixed value, (8/2 = 4 m/s²) from 0 to 2 seconds, zero from 2 to 6 s, then negative (–8/4 = –2 m/s²) from 6 to 10 seconds

If you assume a fixed mass, say 1 kg, then F = ma

and F = 4 N from 0 to 2 seconds, zero from 2 to 6 s, then negative –2 N from 6 to 10 seconds, negative meaning in the direction opposed to the motion,

to answer the questions:

force is zero from 2 to 6 s

largest value: from 1 to 2 sec

no change in direction

a change in direction (of velocity) would mean velocity below zero.