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The equation of motion of a missile are x = 3t, y = –4t, z = t, where the time ‘t’ is given in seconds, and the distance is measured in kilometres.

Based on the above answer the following:

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Question 1
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## What is the path of the missile?

## (a) Straight line

## (b) Parabola

## (c) Circle

## (d) Ellipse

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Question 2
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## Which of the following points lie on the path of the missile?

## (a) (6, 8, 2)

## (b) (6, –8, –2)

## (c) (6, –8, 2)

## (d) (–6, –8, 2)

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Question 3
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## At what distance will the rocket be from the starting point (0, 0, 0) in 5 seconds?

## (a) √550 kms

## (b) √650 kms

## (c) √450 kms

## (d) √750 kms

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Question 4
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## If the position of rocket at a certain instant of time is (5, –8, 10), then what will be the height of the rocket from the ground? (The ground is considered as the xy – plane

## (a) 12 km

## (b) 11 km

## (c) 20 km

## (d) 10 km

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Question 5
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## At a certain instant of time, if the missile is above the sea level, where the equation of the surface of sea is given by 2x + y + 3z = 1 and the position of the missile at that instant of time is (1, 1, 2), then the image of the position of the rocket in the sea is

## (a) ((-9)/7,(-1)/7,(-10)/7)

## (b) (9/7,(-1)/7,(-10)/7)

## (c) ((-9)/7,1/7,(-10)/7)

## (d) ((-9)/7,(-1)/7,10/7)