Question

. Draw a speed vs time graph for static equilibrium Draw a speed vs time graph for non equilibrium balanced forces
unbalanced forces
Draw a distance vs time graph for an object at rest

Answer 1

Here are simple labelled sketches and short explanations for each case.

1) Speed vs time — static equilibrium (object at rest)
- Meaning: net force = 0, speed = 0 at all times.
ASCII graph:
v
|
| _______________________ (v = 0)
| |
|_____|
t

Explanation: horizontal line at v = 0 (no change, no motion).

2) Speed vs time — balanced forces (dynamic equilibrium)
- Meaning: forces balance, acceleration = 0, speed constant (could be nonzero).
ASCII graph (constant nonzero speed):
v
| _______________________ (v = constant > 0)
| |
|______|
t

Explanation: horizontal line at some v = constant (slope 0). If the constant is zero, this is the static-equilibrium case above.

3) Speed vs time — unbalanced forces (constant acceleration or deceleration)
- Meaning: net force ≠ 0, speed changes. For constant acceleration the v–t graph is a straight sloping line.
ASCII graph (increasing speed):
v
| /
| /
| /
|__________/
t

ASCII graph (decreasing speed / deceleration):
v
| \
| \
| \
| \
|_____\
t

Explanation: slope = acceleration (positive slope = speed increasing; negative slope = speed decreasing). If acceleration is non-constant the curve will be curved rather than a straight line.

4) Distance (or position) vs time — object at rest
- Meaning: object does not move, position is constant.
ASCII graph:
s (distance)
|
| _______________________ (s = constant)
| |
|_____|
t

Explanation: horizontal line showing distance (or position) does not change with time.

If you want image files or graphs with numerical axes and example values (e.g., v = 2 m/s, a = 1 m/s²), tell me and I’ll generate them.