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A projectile is given an initial velocity of ({i}+2 {j}) {m} /

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A projectile is given an initial velocity of $(i + 2 j) m / s$ , where $i$ is along the ground and $j$ is along the vertical. If $g = 10 m / s^{2}$ , the equation of its trajectory is

y = x - 5 x^{2}

y = 2 x - 5 x^{2}

4 y = 2 x - 5 x^{2}

4 y = 2 x - 25 x^{2}

Views: 5,406 students

Updated on: Aug 28, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2013

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A projectile is given an initial velocity of

(i + 2 j) m / s

, where

i

is along the ground and

j

is along the vertical. If

g = 10 m / s^{2}

, the equation of its trajectory is

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

As, initial velocity

v = (i + 2 j) m / s

For projectile
Motion along horizontal direction,

x = t \dots (i)

Motion along vertical direction,

y = u t - \frac{1}{2} g t^{2}

where,

u

is a vertical component of velocity.

y = 2 t - \frac{1}{2} 10 t^{2} \dots (ii)

From Eqs. (i) and (ii), we get

y = 2 x - 5 x^{2}

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Question Text	A projectile is given an initial velocity of $(i + 2 j) m / s$ , where $i$ is along the ground and $j$ is along the vertical. If $g = 10 m / s^{2}$ , the equation of its trajectory is
Updated On	Aug 28, 2023
Topic	Motion in a Plane
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 19
Upvotes	2111
Avg. Video Duration	8 min

A projectile is given an initial velocity of $(i + 2 j) m / s$ , where $i$ is along the ground and $j$ is along the vertical. If $g = 10 m / s^{2}$ , the equation of its trajectory is

Text solutionVerified

Filo tutor solutions (19)

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A projectile is given an initial velocity of (i+2j)m/s, where i is along the ground and j is along the vertical. If g=10 m/s2, the equation of its trajectory is

Text solutionVerified

Filo tutor solutions (19)

Questions from JEE Mains 2013 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

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A projectile is given an initial velocity of $(i + 2 j) m / s$ , where $i$ is along the ground and $j$ is along the vertical. If $g = 10 m / s^{2}$ , the equation of its trajectory is