LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
639 views
in Vectors by (29.8k points)

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:

1. What is the path of the missile?

a. Straight line

b. Parabola

c. Circle

d. Ellipse

2. 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)

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

a. \(\sqrt{550}\) kms

b. \(\sqrt{650}\) kms

c. \(\sqrt{450}\) kms

d. \(\sqrt{750}\) kms

4. 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

5. 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

Please log in or register to answer this question.

1 Answer

+1 vote
by (30.5k points)

1. (a) Straight line

2. (c) (6, -8, 2

3. (b) \(\sqrt{650}\) kms

4. (d) 10 km

5. (a) ( \(\cfrac{-9}7,\cfrac{-1}7\cfrac{-10}7\) )

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...