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A ball falls vertically downward and bounces off a horizontal floor. The speed of the ball just before reaching the floor $(u_{1})$ is equal to the speed just after leaving contact with the floor $(u_{2}); u_{1} = u_{2} .$ The corresponding magnitudes of accelerations are denoted respectively by $a_{1}$ and $a_{2}$ . The air resistance during motion is proportional to speed and is not negligible. If $g$ is acceleration due to gravity, then

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Important Questions on Rectilinear Motion

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 2>Q 4

The accompanying graph of position $x$ versus time $t$ represents the motion of a particle. If $p$ and $q$ are both positive constants, the expression that best describes the acceleration $a$ of the particle is

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 2>Q 5

In the following displacement $(x)$ vs time $(t)$ graph, at which among the points $P, Q$ and $R$ is the object's speed increasing?

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 2>Q 6

An object at rest at the origin begins to move in the

+ x

direction with a uniform acceleration of

1 m s^{- 2}

for

4 s

and then it continues moving with a uniform velocity of

4 m s^{- 1}

in the same direction. The

x - t

graph for the object's motion will be

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 2>Q 7

A parachutist with total weight

75 kg

drops vertically onto a sandy ground with a speed of

2 m s^{- 1}

and comes to a halt over a distance of

0.25 m

. The average force from the ground on her is close to-

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 2>Q 8

A person walks $25 °$ north of east for $3.18 km$ . How far would she have to walk due north and then due east to arrive at the same location?

(Take, $\cos 25 ° = 0.906$ )

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 2>Q 9

A stone thrown down with a speed

u

takes a time

t_{1}

, to reach the ground, while another stone, thrown upwards from the same point with the same speed, takes time

t_{2}

. The maximum height the second stone reaches from the ground is

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 2>Q 10

A student performs an experiment to determine the acceleration due to gravity

g

. The student throws a steel ball up with initial velocity

u

and measures the height

h

travelled by it at different times

t

. The graph the student should plot on the graph paper to readily obtain the value of

g

is-

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 2>Q 11

A person goes from point

P

to point

Q

covering

\frac{1}{3}

of the distance with speed

10 km h^{- 1}

, the next

\frac{1}{3}

of the distance at

20 km h^{- 1}

and the last

\frac{1}{3}

of the distance at

60 km h^{- 1}

. The average speed of the person is

Important Questions on Rectilinear Motion

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