A-LevelMathematicsMechanics9709/52 · Feb/Mar 2017 · Q37 Marks
A particle P is projected with speed 20 m s¯¹ at an angle of 60° below the horizontal, from a point O which is 30 m above horizontal ground.
- (i)Calculate the time taken by P to reach the ground.[3]
- (ii)Calculate the speed and direction of motion of P immediately before it reaches the ground.[4]
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2017). The mark or mark type is shown in brackets.
- [M1] Uses s = ut + ½ at² vertically
- [M1] Sets up a quadratic equation and attempts to solve it
- [A1] t = 1.27
- [B1] Uses v² = u² + 2as vertically (hence v = 30)
- [M1] V= √30² + (20cos60)² or tanθ=30/(20cos60)
- [A1] V = 31.6 ms⁻¹
- [A1] θ=71.6° with the horizontal Or 18.4° with the downward vertical
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