Question:
The magnitude of deceleration required for a body, moving at a speed of 10 m/s to come to a complete halt at a distance of 100 m is:
The magnitude of deceleration required for a body, moving at a speed of 10 m/s to come to a complete halt at a distance of 100 m is:
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When object stops, always use \(v=0\) in kinematics equations.
Updated On: May 1, 2026
- \(20 \, m/s^2\)
- \(10 \, m/s^2\)
- \(2 \, m/s^2\)
- \(0.5 \, m/s^2\)
- \(1 \, m/s^2\)
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The Correct Option is D
Solution and Explanation
Concept: Use kinematic equation
\[
v^2 = u^2 + 2as
\]
Step 1: Identify values \[ v = 0, \quad u = 10 \, m/s, \quad s = 100 \, m \]
Step 2: Substitute \[ 0 = (10)^2 + 2a(100) \] \[ 0 = 100 + 200a \]
Step 3: Solve for acceleration \[ a = -0.5 \, m/s^2 \]
Step 4: Interpret result
Negative sign indicates deceleration \[ \boxed{0.5 \, m/s^2} \]
Step 1: Identify values \[ v = 0, \quad u = 10 \, m/s, \quad s = 100 \, m \]
Step 2: Substitute \[ 0 = (10)^2 + 2a(100) \] \[ 0 = 100 + 200a \]
Step 3: Solve for acceleration \[ a = -0.5 \, m/s^2 \]
Step 4: Interpret result
Negative sign indicates deceleration \[ \boxed{0.5 \, m/s^2} \]
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