Projectiles · CAPE Applied Mathematics Unit 2

15 past-paper questions on Projectiles, part of Module 3: Particle Mechanics, from every CAPE Applied Mathematics Unit 2 paper on Quelpr.

1. 6(a)3 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Calculate the greatest height reached by the first particle.
2. 6(b)(i)2 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2For the first particle, calculate the distance travelled at the end of 5 seconds horizontally.
3. 6(b)(ii)3 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2For the first particle, calculate the distance travelled at the end of 5 seconds vertically.
4. 6(b)(iii)4 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Hence, determine the value of u cos α.
5. 6(b)(iv)4 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Hence, determine the value of u sin α.
6. 6(b)(v)4 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Hence, determine the value of u.
7. 6(b)(vi)5 marks· CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2Hence, determine the value of α.
8. 6(c)5 marks· CAPE Applied Mathematics Unit 2 · 2013 · Paper 2A particle is projected with a velocity v\text{ ms}^{-1} at an angle of \alpha to the horizontal. If it passes through a point P(x, y), determine the equation of the particle's trajectory.
9. 6(d)8 marks· CAPE Applied Mathematics Unit 2 · 2013 · Paper 2A bullet fired from a point O with velocity 30\text{ ms}^{-1} at an angle of \alpha to the horizontal passes through a point P(25, 40). Calculate, to the nearest degree, the two possible values of \alpha.
10. 6(a)4 marks· CAPE Applied Mathematics Unit 2 · 2014 · Paper 2Formulate the equation of the trajectory of a projectile.
11. 6(b)(i)2 marks· CAPE Applied Mathematics Unit 2 · 2014 · Paper 2Show that 20 tan² α – 90 tan α + 16 = 0.
12. 6(b)(ii)5 marks· CAPE Applied Mathematics Unit 2 · 2014 · Paper 2Hence, find to the nearest degree, the TWO possible values of α.
13. 6(b)(iii)3 marks· CAPE Applied Mathematics Unit 2 · 2014 · Paper 2Find, to the nearest second, the MINIMUM possible time of flight from A to B.
14. 5(b)(i)9 marks· CAPE Applied Mathematics Unit 2 · 2017 · Paper 2If air resistance is ignored, determine the time taken for the object to hit the ground.
15. 5(b)(ii)4 marks· CAPE Applied Mathematics Unit 2 · 2017 · Paper 2Show that the distance from the foot of the cliff to the point where the object strikes the ground is x = 5(\sqrt{120} - \sqrt{3})\text{ m}.