Extension 2 Mathematics Task 3 MECHANICS Multiple Choice Questions (5 marks) Question 1 Marks
1
Question 2
1
Question 3
1
Question 4
Experiments have shown that the acceleration due to gravity of an object at a distance x from the centre of the Earth is proportional to the inverse square of the distance x, towards the centre of the Earth, i.e. 𝑎 = !
"!.. If we take g to equal the gravitational
acceleration on the Earth’s surface and R to be the Earth’s radius, then if a particle is projected vertically upwards from the Earth’s surface with an initial speed U, its velocity at a distance x from the centre can be given by which of the following equations?
(A) 𝑣$ = 𝑈$ − 𝑔𝑅(%&− %
")
(B) 𝑣$ = 𝑈$ − 2𝑔𝑅$(%
&− %
")
(C) 𝑣$ = 𝑈 − 𝑔𝑅(%
&− %
")
(D) 𝑈$ = 2𝑔𝑅𝑣$(%
&− %
")
1
Question 5
1
Part B Extended Response Questions (30 Marks) Show all relevant working
Question 6
4
2
2