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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.

1. A girl cycles for 3 hours at a speed of 40 km/hr. what distance did she travel?
2. The distance between two cities is 144km, it takes me 3 hrs to travel between these cities. what speed did I travel at?
3. A sprinter runs the 100m dash in 14.4 s. What is the runner's average velocity?
4. An object increases its velocity by 2m/s in a time of 1.25 sec. What is the object's acceleration in that time?

Solve kinematic problems involving distance, speed, velocity, and acceleration. Learn how to calculate the distance traveled by a cyclist, the speed between two cities, the average velocity of a sprinter, and the acceleration of an object over time. Suitable for students in Grades 8-10.

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