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.
A body accelerates uniformly from rest at 2 ms-².calculate the magnitude of it's velocity after travelling 9m
Physics
ScanSolve AI Answer
Answer
6 m/s
Given:
Initial velocity, (starts from rest).
Acceleration, .
Distance travelled, .
Use the kinematic equation:
Step 1: Substitute the known values.
Step 2: Simplify inside the parentheses first.
Step 3: Solve for (take the positive root for magnitude).
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.
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