A cricket ball is struck from ground level with a speed of at an angle of to the…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A cricket ball is struck from ground level with a speed of 25 m s−125\,\text{m\,s}^{-1} at an angle of 37∘37^{\circ} to the horizontal. Take g=9.8 m s−2g = 9.8\,\text{m\,s}^{-2}. (i) Calculate the horizontal and vertical components of the initial velocity. (ii) Determine the horizontal position xx and the vertical position yy of the ball after 2 s2\,\text{s} from launch. (iii) Find the magnitude and direction (angle with the horizontal, measured above or below the horizontal as appropriate) of the velocity of the ball at t=2 st = 2\,\text{s}. Round your final answers to two significant figures.

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