Let's solve each of these questions one by one:

1. Distance Traveled by the Girl

The formula for distance is: $\text{Distance} = \text{Speed} \times \text{Time}$

Given:

• Speed = 40 km/hr
• Time = 3 hours

$\text{Distance} = 40 \, \text{km/hr} \times 3 \, \text{hours} = 120 \, \text{km}$

Answer: The girl traveled 120 km.

2. Speed of Travel Between Two Cities

The formula for speed is: $\text{Speed} = \frac{\text{Distance}}{\text{Time}}$

Given:

• Distance = 144 km
• Time = 3 hours

$\text{Speed} = \frac{144 \, \text{km}}{3 \, \text{hours}} = 48 \, \text{km/hr}$

Answer: The speed of travel was 48 km/hr.

3. Average Velocity of the Sprinter

The formula for average velocity is: $\text{Average Velocity} = \frac{\text{Displacement}}{\text{Time}}$

Given:

• Displacement = 100 m
• Time = 14.4 s

$\text{Average Velocity} = \frac{100 \, \text{m}}{14.4 \, \text{s}} \approx 6.94 \, \text{m/s}$

Answer: The sprinter's average velocity was approximately 6.94 m/s.

4. Acceleration of the Object

The formula for acceleration is: $\text{Acceleration} = \frac{\Delta \text{Velocity}}{\text{Time}}$

Given:

• Change in Velocity (ΔV) = 2 m/s
• Time = 1.25 s

$\text{Acceleration} = \frac{2 \, \text{m/s}}{1.25 \, \text{s}} = 1.6 \, \text{m/s}^2$

Answer: The object's acceleration is 1.6 m/s².

Would you like further details or have any questions? Here are some related questions you might find interesting:

1. If the girl cycled for 2 more hours at the same speed, what would be the total distance she covered?
2. What would be the time taken to travel between the two cities if the speed were reduced to 36 km/hr?
3. If the sprinter maintained the same speed, how long would it take to run a 200m race?
4. What is the final velocity of an object that starts from rest and accelerates at 3 m/s² for 4 seconds?
5. If an object has an initial velocity of 5 m/s and accelerates uniformly at 2 m/s² for 3 seconds, what is its final velocity?

Tip: Remember that average speed and average velocity are different when direction is involved; speed is scalar, while velocity is a vector.