A shot leaves a gun at the rate of 160m/s. Calculate the greatest distance to which it could be projected and the height to which it would rise? (g=10m/s2).
Correct answer: B. 2560m, 640m
- A. 1560m, 540m
- B. 2560m, 640m
- C. 3560m. 740m
- D. 4560m, 840m
- E. 9595m, 348m
Explanation
R= u²sin2θ/gFor maximum range θ=45So 160²/10= 2650This alone is sufficient to enable us to narrow our answer to just B (do not waste time finding height while attempting the actual exam!)For height, H= u²sin²θ/2gat θ=45 H=u²/4g160²/4*10=640Which again confirms option B to be correct.
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