Question

Draw a speed vs time graph for non equilibrium unbalanced forces

Answer 1

Here are three simple speed vs time sketches that illustrate non‑equilibrium (unbalanced) forces. In all cases "speed" = |velocity|, and an unbalanced force means acceleration ≠ 0 so speed changes with time.

1) Constant unbalanced force in same direction as motion (constant positive acceleration)
- Equation: v(t) = v0 + (F/m) t
- Graph: straight line rising with constant slope (positive)

speed
|
| /
| /
| /
| /
|_____/________ time
t0

Caption: speed increases linearly with time.

2) Constant unbalanced force opposite to motion (constant deceleration) that eventually reverses direction
- Equation: v(t) = v0 + (F/m) t where F is negative; when v crosses zero the velocity changes sign but speed = |v| so the speed graph goes to zero then rises again (V‑shape)

speed
|
| \
| \
| \ /
| \ /
|________X/____ time
t_zero

Caption: speed decreases to zero, then increases after direction reversal (cusp at zero).

3) Time‑varying unbalanced force (variable acceleration) — curved speed change
- Equation: v(t) = v0 + ∫(F(t)/m) dt
- Graph: smooth curved rise or fall depending on sign and variation of F(t)

speed
|
| __
| / \
| / \
| / \
|__/ \____ time

Caption: the curvature shows changing acceleration (non‑constant force).

If you want, I can:
- draw these as clean images (PNG/SVG),
- produce velocity (signed) vs time graphs instead of speed,
- or give sample numeric plots for a chosen mass and force function. Which would you like?