Motion in A Straight Line Test

Directions For Questions

The velocity of a particle is the rate at which its position varies with time. The position of a particle in a particular reference frame is given by a position vector drawn from the origin of that frame of reference. At $$t={ t }_{ 1 }$$ assume the particle is at $$A$$ and its position in $$xy$$ plane being described by position vector $$\overrightarrow{ r }_1 $$. At a later time $${ t }_{ 2 }$$ the particle reaches at point $$B$$ as shown in figure and its position vector is $$\overrightarrow{r}_2 $$.
The displacement vector $$\Delta\overrightarrow{r}= \overrightarrow{ r }_2 -\overrightarrow{r}_1$$ describes the change in posittion of the particle from $$A$$ to $$B$$ in time $${ t }_{ 2 }-{ t }_{ 1 }$$. Average velocity of the particle during this interval is
$$\overrightarrow{ v }_{av } =\cfrac { displacement\quad (a\ vector) }{ time\quad elapsed\quad (a\ scalar) } $$

...view full instructions

Which of the following statements regarding motion of particle is true?

Motion in A Str...

Question 1

$$10 cm$$

$$20 cm$$

$$30 cm$$

$$0 cm$$

Question 2

Misses the target by passing above it

Hits the target

Misses the target by passing below it

May or may not hit

Question 3

Question 4

$$1\ m$$

$$\cfrac {3}{2}\ m$$

$$\cfrac {7}{4}\ m$$

$$2\ m$$

Question 5

The frames must be at rest with respect to each other.

The frames may be moving with respect to each other but neither should be accelerated with respect to the other.

The acceleration of frame $$S_{2}$$ with respect to $$S_{1}$$ be $$0$$ or $$10\ ms^{-2}$$

The acceleration of frame $$S_{2}$$ with respect to $$S_{1}$$ lies between $$0$$ and $$10\ ms^{-2}$$

Question 6

$$10cm$$

$$7.5cm$$

$$11.25cm$$

$$15cm$$

Question 7

When it rises to half its maximum height its velocity is $$\dfrac{u}{2}$$

Time taken to rise to half its maximum height is half the time taken to reach maximum height

Time taken to rise to three fourth its maximum height is half the time taken to reach maximum height

The acceleration of the particle when it reaches its maximum height is zero.

Question 8

the heavier stone hits the ground with a higher speed

the lighter stone hits the ground with a higher speed

both the stones will have same speed when they hit the ground

the speed cannot be determined with the given data

Question 9

$$\dfrac { \sqrt { 2 } -1 }{ \sqrt { 2 } +1 } $$

$$\dfrac { \sqrt { 3 } -\sqrt { 2 } }{ \sqrt { 3 } +\sqrt { 2 } } $$

$$\dfrac { \sqrt { 3 } -1 }{ \sqrt { 3 } +1 } $$

$$\cfrac {1} {3}$$

Question 10

The motion between $$A$$ and $$B$$ is known

The motion between $$A$$ and $$B$$ is erratic

The motion between $$A$$ and $$B$$ may have been steady or erratic

The motion between $$A$$ and $$B$$ is steady

User

Question Analysis

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.