The velocity of a body depends on time according to the equation: \( v = 20 + 0.1t \).

Kinematics Problem

Question: The velocity of a body depends on time according to the equation:
\( v = 20 + 0.1t \).
The body is undergoing:

Options:

• (1) Uniform acceleration
• (2) Uniform retardation
• (3) Non-uniform acceleration
• (4) Zero acceleration

Solution

Analysis of Equation:
The given equation is \( v = 20 + 0.1t \)
Compare with standard equation of motion: \( v = u + at \)

Where:
- Initial velocity (\( u \)) = 20 m/s
- Acceleration (\( a \)) = 0.1 m/s² (constant)

Conclusion:
Since acceleration is constant (\( \frac{dv}{dt} = 0.1 \, \text{m/s}^2 \)),
the motion has uniform acceleration.

Answer: Option (1) \( \boxed{\text{Uniform acceleration}} \)