Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 5

EASY

JEE Main/Advance

IMPORTANT

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A person goes to his office from his home daily at a fixed speed. But today he decided to reduce his speed by $20 %$ as a result he reaches his office $16$ minute late. What's the actual/original time he takes to reach his office daily?

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Important Questions on Motion in a Straight Line

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 6

If

y = \sin (4 x + \frac{2 π}{3}),

then the value of

\frac{d y}{d x}

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 7

If

y = \log_{e} x^{2},

then the value of

\frac{d y}{d x}

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 8

If

y = x \sin x^{2},

then the value of

\frac{d y}{d x}

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 9

Let

y = 50 t - 5 t^{2},

then the value of

y

is maximum, when

t =

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 10

The position of a particle

x

depends on time

t

according to the relation

x = (3 m s^{- 1}) t - (1 m s^{- 2}) t^{2} .

The speed of the particle at

t = 2 s

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 11

Find the value of

\frac{d}{d x} {(\sqrt{x} + \frac{1}{\sqrt{x}})}^{2} .

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 12

If

I = \int \frac{1}{\sqrt{x}} d x,

then the value of

I

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 13

If

I = \int \sec^{2} 2 x d x,

then the value of

I

is