Sure, let's solve this step by step.

1. **Identify the given information:**
- The body starts from rest, so the initial velocity $ u = 0 $.
- The body covers a particular displacement $ s $.
- The acceleration is uniform, denoted as $ a $.

2. **Use the kinematic equation:**
The equation that relates displacement $ s $, initial velocity $ u $, acceleration $ a $, and time $ t $ is:
$$
s = ut + \frac{1}{2}at^2
$$

3. **Substitute the known values:**
Since $ u = 0 $, the equation simplifies to:
$$
s = \frac{1}{2}at^2
$$

4. **Solve for time $ t $:**
Rearrange the equation to solve for $ t $:
$$
s = \frac{1}{2}at^2 \implies 2s = at^2 \implies t^2 = \frac{2s}{a} \implies t = \sqrt{\frac{2s}{a}}
$$

5. **Conclusion:**
The time $ t $ in which the body covers the displacement $ s $ with uniform acceleration $ a $ is:
$$
t = \sqrt{\frac{2s}{a}}
$$

Question

Sure, let's solve this step by step.

1. **Identify the given information:**
   - The body starts from rest, so the initial velocity $ u = 0 $.
   - The body covers a particular displacement $ s $.
   - The acceleration is uniform, denoted as $ a $.

2. **Use the kinematic equation:**
   The equation that relates displacement $ s $, initial velocity $ u $, acceleration $ a $, and time $ t $ is:
   $$
   s = ut + \frac{1}{2}at^2
   $$

3. **Substitute the known values:**
   Since $ u = 0 $, the equation simplifies to:
   $$
   s = \frac{1}{2}at^2
   $$

4. **Solve for time $ t $:**
   Rearrange the equation to solve for $ t $:
   $$
   s = \frac{1}{2}at^2 \implies 2s = at^2 \implies t^2 = \frac{2s}{a} \implies t = \sqrt{\frac{2s}{a}}
   $$

5. **Conclusion:**
   The time $ t $ in which the body covers the displacement $ s $ with uniform acceleration $ a $ is:
   $$
   t = \sqrt{\frac{2s}{a}}
   $$

Knowee AI · Accepted Answer

Sure, let's solve this step by step.

1. **Identify the given information:**
   - The body starts from rest, so the initial velocity $ u = 0 $.
   - The body covers a particular displacement $ s $.
   - The acceleration is uniform, denoted as $ a $.

2. **Use the kinematic equation:**
   The equation that relates displacement $ s $, initial velocity $ u $, acceleration $ a $, and time $ t $ is:
   $$
   s = ut + \frac{1}{2}at^2
   $$

3. **Substitute the known values:**
   Since $ u = 0 $, the equation simplifies to:
   $$
   s = \frac{1}{2}at^2
   $$

4. **Solve for time $ t $:**
   Rearrange the equation to solve for $ t $:
   $$
   s = \frac{1}{2}at^2 \implies 2s = at^2 \implies t^2 = \frac{2s}{a} \implies t = \sqrt{\frac{2s}{a}}
   $$

5. **Conclusion:**
   The time $ t $ in which the body covers the displacement $ s $ with uniform acceleration $ a $ is:
   $$
   t = \sqrt{\frac{2s}{a}}
   $$

If a body starts from rest, the time in which it covers a particular displacement with uniform acceleration is

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