A-LevelMathematicsMechanics9709/51 · May/June 2017 · Q14 Marks
A particle is projected with speed 20 m s⁻¹ at an angle of 60° above the horizontal. Calculate the time after projection when the particle is descending at an angle of 40° below the horizontal.
- (a)A particle is projected with speed 20 m s⁻¹ at an angle of 60° above the horizontal. Calculate the time after projection when the particle is descending at an angle of 40° below the horizontal.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [M1] tan40 = v / 20cos60
- [A1] v = 10tan40 (= 8.3909...)
- [M1] -10tan40 = 20sin60 – gt
- [A1] t = 1.27 s
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