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

Question 7

1

3

2

Question 8

2

3

Question 9

2

1

3