A-LevelMathematicsMechanics9709/52 · Feb/Mar 2018 · Q25 Marks
An object is projected with speed 15 m s¯¹ at an angle of 35° above the horizontal from a point on horizontal ground. Find the speed and direction of motion of the object at time 2 s after the instant of projection.
- An object is projected with speed 15 m s¯¹ at an angle of 35° above the horizontal from a point on horizontal ground. Find the speed and direction of motion of the object at time 2 s after the instant of projection.[5]
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2018). The mark or mark type is shown in brackets.
- [B1] u = 15cos35 ( = 12.287) Use horizontal motion
- [B1] v = 15sin35 - 2g ( = -11.396) Use vertical motion
- [M1] V = √(12.2872 + 11.396²) OR tanθ = ±11.396 / 12.287
- [A1] V = 16.8 m s⁻¹
- [A1] θ = 42.8° below the horizontal
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