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

EASY

JEE Main/Advance

IMPORTANT

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Let $y = 50 t - 5 t^{2},$ then the value of $y$ is maximum, when $t =$

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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 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

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 14

\int_{2}^{3} \frac{1}{x} d x

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 15

If

I = \int_{0}^{2} x^{2} 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 16

Evaluate the integral,

x = \int_{0}^{π / ω} (1 - \sin ω t) d t

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 17

\int_{0}^{π / 2} \sin x d x