Answer :
The angle of the incline above the horizontal can be calculated using the equation:
tan(θ) = a/g
where θ is the angle of the incline above the horizontal, a is the acceleration of the block, and g is the acceleration due to gravity.
In this case, a = 3m/s2 and g = 9.8m/s2.
Substituting these values into the equation gives:
tan(θ) = 3/9.8
Solving for θ gives:
θ = 16.9°
Step 1: We need to use the equation for uniform acceleration to calculate the angle of the incline:
a = g*sinθ
Step 2: Rearrange the equation to solve for θ:
θ = sin-1(a/g)
Step 3: Substitute 3 m/s2 for a and 9.8 m/s2 for g:
θ = sin-1(3/9.8)
Step 4: Calculate the angle using a calculator:
θ = 14.4°
Step 5: The angle of the incline above the horizontal is 14.4°.
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