Question 11988PhysicsWAEC

A body is projected into space with an initial velocity V o at an angle θ to the horizontal. Which of the following statements is/are correct about its motion? I. The total time of flight is vocos⁡θg\frac{v_{o\cos\theta}}{g} II. The maximum height is vosin⁡2θ2g\frac{v_{o\sin2\theta}}{2g} III. The range is vo2sin⁡2θg\frac{v_{o2\sin^2\theta}}{g}

A

l and ll only

B

l and lll only

C

ll and lll only

D

ll only

Step-by-Step Explanation

In projectile motion, the total time of flight is determined by the vertical component of the initial velocity and is given by 2vosin⁡θg\frac{2v_{o\sin\theta}}{g}, not vocos⁡θg\frac{v_{o\cos\theta}}{g}. The maximum height is correctly expressed as vo2sin⁡2θ2g\frac{v_{o}^2\sin^2\theta}{2g}, which is derived from the vertical motion equations. The range formula is vo2sin⁡2θg\frac{v_{o}^2\sin2\theta}{g}, confirming that only the statement regarding maximum height is accurate.

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