MTH404 Quiz 1 Set 3

Q1. ……… treats the geometry of motion of bodies without taking into account their masses or the forces on them.

1. statics
2. kinematics
3. astrophysics
4. kinetics

Correct answer: kinematics

Q2. IF $$\vec r = 3{t^2}\hat i + 3\hat j$$ is the position of the particle at time t, then which of the following is true about the acceleration of the particle?

1. $$ a = 6t i + 3 j$$
2. $$ a = 6 i$$
3. $$ a = 6 i + 3 j$$
4. $$ a = 0$$

Correct answer: $$ a = 6 i$$

Q3. If the acceleration of a particle is zero, then which of the following is true?

1. Distance traveled in each unit of time is decreasing.
2. Distance traveled in each unit of time is increasing
3. Distance traveled in each unit of time is constant
4. None of the given

Correct answer: None of the given

Q4. If x is the displacement of particle from a fixed point at any time t and is given by $$x = 5{t^2}$$, then which of the following will be the expression for the acceleration of the particle?

1. 10t
2. 5
3. 10
4. 5t

Correct answer: 10

Q5. If the speed "v" remains unchanged with time, then acceleration is

1. normal.
2. zero.
3. tangent.
4. constant.

Correct answer: zero.

Q6. If the displacement of a particle is given by$$x = 3{t^2} + 4$$, then the acceleration of the particle at any time t will be ------.

1. 6
2. 6t
3. 0
4. 3t

Correct answer: 6

Q7. The radial component of acceleration is -----.

1. $${1}{r}{d}{{dt}}({r^2} )$$
2. $$ r - r{( )^2}$$
3. none of these
4. $${1}{{{r^2}}}{d}{{dt}}({r^2} )$$

Correct answer: $$ r - r{( )^2}$$

Q8. At any time t the position of a particle moving in a plane can be specified by $$(a\cos \varpi t,a\sin \varpi t)$$, where a and $$\varpi$$are constants, the normal component of velocity is ----.

1. $${{a^2}{ ^2}}$$
2. 0
3. $${a }$$
4. $$ {a }$$

Correct answer: 0

Q9. If a particle is moving with zero acceleration and it starts with velocity 10m/s, then the distance traveled in 5 seconds will be ----.

1. 15m
2. 10m
3. 60m
4. 50m

Correct answer: 50m

Q10. The position of a particle moving along a path at any time t is given by $$\vec r = \sin t\cos t\hat i + {\sin ^2}t\hat j$$ and $$\theta = 7t$$. The transverse component of velocity is ----.

1. $$- 7 t$$
2. $$6 t$$
3. $$- t$$
4. $$7 t$$

Correct answer: $$7 t$$