Motion Test

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A determined student waited to test the law of gravity himself and jumps off the top of CN Tower in Toronto ($$553\ m$$ high) and falls freely. His initial velocity is zero. A rocketeer arrives at the scene $$5.0\ s$$ later and dives off the top of the tower to save him. The rocketeer leaves the tower with an initial speed $${ v }_{ 0 }$$. In order to catch the student and to prevent injury to him, the rocketeer should catch the student at a sufficiently great height above the ground so that the rocketeer and student slow down and arrive at the ground with zero velocity. The upward acceleration that accomplishes this is provided by the rocketeer's jet pack, which he turns on when he catches the student, before that rocketeer is in free fall. To prevent discomfort to the student, the magnitude of acceleration should not exceed $$5g$$.

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$$V (m\:s^{-1})$$	0		6	12	24	30	36	42
$$t (s)$$	0		2	4	8	10	12	14

Motion Test - 7...

Question 1

$$ 16 \, ft / s $$

$$ 32 \, ft / s $$

$$ 64 \, ft / s $$

$$ 24 \, ft / s $$

Question 2

$$ 3 \,sec $$

$$ 6 \,sec $$

$$ 12 \,sec $$

$$ 8 \,sec $$

Question 3

$$ 60\,m $$

$$ 55 \,m $$

$$ 25 \,m $$

$$ 30\,m $$

Question 4

$$ h_1 : h_2 $$

$$ \sqrt{h_1} : \sqrt{h_2} $$

$$ h_1 : 2 h_2 $$

$$ 2h : h $$

Question 5

Zero velocity

Constant velocity

Increasing velocity

Decreasing velocity

Question 6

accelerated motion

motion with constant velocity

oscillations

retarded motion

Question 7

Direction of motion changes

Speed remains the same

Velocity remains the same

Direction of motion does not change

Question 8

$$\displaystyle \dfrac{{at}^{2}}{4}$$

$$\displaystyle \dfrac{{at}^{2}}{3}$$

$$\displaystyle \dfrac{{at}^{2}}{2}$$

$$\displaystyle \dfrac{{at}^{2}}{8}$$

Question 9

It moves with uniform speed.

It moves with uniform motion

It moves with uniform velocity

It moves with uniform acceleration

Question 10

$$92.1\ m$$

$$460.9\ m$$

$$78.8\ m$$

$$82.3\ m$$

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