Activity 3: Calculating Velocity Directions: Solve the following problems using GRESA method. 1. A car travels kilometers North 2. A car travels 60 kilometers east in 2 hours. What is the velocity of the car? 3. A trucker drives along a straight highway for 0.25 hour with a displacement of 16 km Sou What is the trucker's average velocity? 4. If a sprinter runs 100 m West in 10 seconds, what is his average velocity? 5. A swimmer completes a displacement of 150 meters south in 5 minutes. Determine the swimmer's velocity in meters per minute.

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Let's solve each problem step by step using the GRESA method (Given, Required, Equation, Solution, Answer).

### Problem 1: A car travels kilometers North
**Given:** The distance traveled is not specified in the problem.  
**Required:** Velocity of the car.  
**Equation:** Velocity is defined as displacement over time, but we need time to calculate it.  
**Solution:** Since we don't have enough information (distance and time), we cannot calculate the velocity.  
**Answer:** Insufficient information to determine velocity.

### Problem 2: A car travels 60 kilometers east in 2 hours. What is the velocity of the car?
**Given:**  
- Displacement $$ d = 60 $$ km (east)  
- Time $$ t = 2 $$ hours

**Required:** Velocity $$ v $$.  
**Equation:**  
$$
v = \frac{d}{t}
$$

**Solution:**  
$$
v = \frac{60 \text{ km}}{2 \text{ hours}} = 30 \text{ km/h} \text{ (east)}
$$

**Answer:** The velocity of the car is $$ 30 \text{ km/h} $$ east.

### Problem 3: A trucker drives along a straight highway for 0.25 hour with a displacement of 16 km South. What is the trucker's average velocity?
**Given:**  
- Displacement $$ d = 16 $$ km (south)  
- Time $$ t = 0.25 $$ hours

**Required:** Average velocity $$ v $$.  
**Equation:**  
$$
v = \frac{d}{t}
$$

**Solution:**  
$$
v = \frac{16 \text{ km}}{0.25 \text{ hours}} = 64 \text{ km/h} \text{ (south)}
$$

**Answer:** The trucker's average velocity is $$ 64 \text{ km/h} $$ south.

### Problem 4: If a sprinter runs 100 m West in 10 seconds, what is his average velocity?
**Given:**  
- Displacement $$ d = 100 $$ m (west)  
- Time $$ t = 10 $$ seconds

**Required:** Average velocity $$ v $$.  
**Equation:**  
$$
v = \frac{d}{t}
$$

**Solution:**  
$$
v = \frac{100 \text{ m}}{10 \text{ seconds}} = 10 \text{ m/s} \text{ (west)}
$$

**Answer:** The sprinter's average velocity is $$ 10 \text{ m/s} $$ west.

### Problem 5: A swimmer completes a displacement of 150 meters south in 5 minutes. Determine the swimmer's velocity in meters per minute.
**Given:**  
- Displacement $$ d = 150 $$ m (south)  
- Time $$ t = 5 $$ minutes

**Required:** Velocity $$ v $$.  
**Equation:**  
$$
v = \frac{d}{t}
$$

**Solution:**  
$$
v = \frac{150 \text{ m}}{5 \text{ minutes}} = 30 \text{ m/min} \text{ (south)}
$$

**Answer:** The swimmer's velocity is $$ 30 \text{ m/min} $$ south.

### Summary of Answers:
1. Insufficient information to determine velocity.
2. $$ 30 \text{ km/h} $$ east.
3. $$ 64 \text{ km/h} $$ south.
4. $$ 10 \text{ m/s} $$ west.
5. $$ 30 \text{ m/min} $$ south.
1. Cannot determine velocity with given information. 2. 30 km/h east. 3. 64 km/h south. 4. 10 m/s west. 5. 30 m/min south.

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