A body accelerates uniformly from rest at 2 ms-².calculate the magnitude of it's velocity after travelling 9m

Physics

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Answer

6 m/s

Given:
Initial velocity, u=0 m/su=0~\mathrm{m/s} (starts from rest).
Acceleration, a=2 m/s2a=2~m/s^2.
Distance travelled, s=9 ms=9~\mathrm{m}.

Use the kinematic equation:
v2=u2+2asv^2 = u^2 + 2as

Step 1: Substitute the known values.
v2=(0 m/s)2+2(2 m/s2)(9 m)v^2 = (0~m/s)^2 + 2(2~m/s^2)(9~m)

Step 2: Simplify inside the parentheses first.
v2=0+2×2 m/s2×9 mv^2 = 0 + 2 \times 2~m/s^2 \times 9~\mathrm{m}
v2=36 m2/s2v^2 = 36~\mathrm{m^2/s^2}

Step 3: Solve for vv (take the positive root for magnitude).
v=36 m2/s2v = \sqrt{36~m^2/s^2}
v=6 m/sv = 6~\mathrm{m/s}

6 m/s

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Quick Answer

Given: Initial velocity, u=0~m/s (starts from rest). Acceleration, a=2~m/s^2.

A body accelerates uniformly from rest at 2 ms-².calculate the magnitude of it's velocity after travelling 9m
Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Given: Initial velocity, u=0~m/s (starts from rest). Acceleration, a=2~m/s^2. Distance travelled, s=9~m. Use the kinematic equation: v^2 = u^2 + 2as Step 1: Substitute the known values. v^2 = (0~m/s)^2 + 2(2~m/s^2)(9~m) Step 2: Simplify inside the parentheses first. v^2 = 0 + 2 × 2~m/s^2 × 9~m v^2 = 36~m^2/s^2 Step 3: Solve for v (take the positive root for magnitude). v = sqrt(36~m^2/s^2) v = 6~m/s 6 m/s