The question asks us to determine the assumption that can be made about the car's acceleration as it changes speed from 6.1 m/s to 36.5 m/s over 9.9 seconds.

Step-by-Step Solution:

1. Understand the problem: The car's velocity increases uniformly over the given time. The assumption is typically about the nature of the acceleration.

2. Key formula: Use the equation for constant acceleration: $a = \frac{v_f - v_i}{t}$ Where:

   • $v_f = 36.5 \, \text{m/s}$ (final velocity),
   • $v_i = 6.1 \, \text{m/s}$ (initial velocity),
   • $t = 9.9 \, \text{seconds}$ (time interval),
   • $a$ is the acceleration.

3. Substitute the values: $a = \frac{36.5 - 6.1}{9.9} = \frac{30.4}{9.9} \approx 3.07 \, \text{m/s}^2$

4. Assumption:

   • The car has a constant acceleration during this time. This is implied because the question asks about acceleration without mentioning changes in the rate of acceleration. This constant value is approximately $3.07 \, \text{m/s}^2$.

Final Answer:

The assumption is that the car's acceleration is uniform (constant) over the 9.9 seconds.

Would you like a deeper explanation or have any related questions?

Related Questions:

1. How does non-uniform acceleration differ from uniform acceleration?
2. What happens to the distance traveled by the car during this time?
3. Can this problem be solved graphically using a velocity-time graph?
4. How would air resistance affect the acceleration assumption?
5. What formulas can be used to find the distance covered during this interval?

Tip:

Always verify whether the question specifies uniform or variable acceleration. If not, constant acceleration is often the default assumption in physics problems.