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We can solve the problem by using the concept of **conservation of energy** or the **kinematic equation** for vertical motion.

Since air resistance is neglected, all the initial kinetic energy is converted into gravitational potential energy at the highest point of the jump.

### Step 1: Use Energy Conservation
The formula for kinetic energy is:
\[
KE = \frac{1}{2} m v^2
\]
Where:
- \(m = 60 \, \text{kg}\) (mass of the person),
- \(v = 3 \, \text{m/s}\) (initial speed when leaving the ground).

The gravitational potential energy (PE) at the maximum height \(h\) is:
\[
PE = mgh
\]
Where:
- \(g = 9.8 \, \text{m/s}^2\) (gravitational acceleration),
- \(h\) is the height we want to calculate.

At the maximum height, the kinetic energy is fully converted to potential energy, so:
\[
\frac{1}{2} m v^2 = mgh
\]

### Step 2: Simplify and Solve for \(h\)
Cancel out the mass \(m\) from both sides:
\[
\frac{1}{2} v^2 = gh
\]
Now, solve for \(h\):
\[
h = \frac{v^2}{2g}
\]

### Step 3: Substitute the values
\[
h = \frac{(3)^2}{2 \times 9.8} = \frac{9}{19.6}
\]
\[
h = 0.46 \, \text{m}
\]

### Answer:
The maximum height the person can reach is **0.46 meters** (rounded to 2 significant figures).

---

Would you like further details or have any other questions? Here are 5 related questions for practice:

1. How would air resistance affect the height the person can reach?
2. What if the person left the ground with a speed of 4 m/s? How would that change the result?
3. How does the gravitational field strength affect the maximum height?
4. What is the maximum height a person can reach on the Moon, where \( g = 1.62 \, \text{m/s}^2 \)?
5. How much kinetic energy does the person have initially?

**Tip:** When solving physics problems involving energy, always consider whether external forces like friction or air resistance need to be taken into account.

A person with a mass of 60 kg jumps vertically in the air. They leave the ground with a speed of 3 m/s. Ignoring the effect of air resistance, calculate the maximum possible height that the person could reach. Give your answer to 2 significant figures. The gravitational field strength on Earth is 9.8 N/kg.

Learn how to calculate the maximum height a person with a mass of 60 kg can reach when jumping with a speed of 3 m/s. This problem involves energy conservation and kinematic equations, suitable for high school students.

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