Question

1. A missile is launched vertically upward with an initial velocity u at an angle θ to the horizontal. It travels a horizontal distance, R, often referred to as the range, which is represented by the expression R = u²sin2θ/g. Determine the dimension of R.

Accepted Answer

R = u²sin2θ/g, where u = initial velocity (LT⁻¹) and g = acceleration due to gravity (LT⁻²). sin2θ is dimensionless. R = (LT⁻¹)² / (LT⁻²) = L²T⁻² / (LT⁻²) = L. Therefore the dimension of Range, R, is [L].

WAEC Physics 2025 Theory — Question 1

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