{"id":24952,"date":"2022-09-08T15:03:34","date_gmt":"2022-09-08T09:33:34","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=24952"},"modified":"2023-03-30T15:08:47","modified_gmt":"2023-03-30T09:38:47","slug":"ap-inter-1st-year-physics-notes-chapter-4","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-inter-1st-year-physics-notes-chapter-4\/","title":{"rendered":"AP Inter 1st Year Physics Notes Chapter 4 Motion in a Plane"},"content":{"rendered":"

Students can go through\u00a0AP Inter 1st Year Physics Notes<\/a> 4th Lesson Motion in a Plane will help students in revising the entire concepts quickly.<\/p>\n

AP Inter 1st Year Physics Notes 4th Lesson Motion in a Plane<\/h2>\n

\u2192 A physical quantity having only magnitude but no direction is called a scalar.<\/p>\n

\u2192 A physical quantity having magnitude as well as direction and obeys law of addition of vectors is called a vector.<\/p>\n

\u2192 A vector of zero magnitude is called null vector for) zero vector.<\/p>\n

\u2192 Vectors situated in the same plane are called coplanar vectors.<\/p>\n

\u2192 A vector with magnitude one is called unit vector.<\/p>\n

\u2192 A vector ‘a1 can be represented in unit vector form as a = ax<\/sub>i + ay<\/sub>j + az<\/sub>k. The magnitude of
\n\\(|\\vec{a}|=\\sqrt{a_x^2+a_y^2+a_z^2}\\)<\/p>\n

\"AP<\/p>\n

\u2192 Resultant of any two vectors is determined by parallelogram law of vectors.
\nR = \\(\\sqrt{\\mathrm{P}^2+\\mathrm{Q}^2+2 \\mathrm{PQ} \\cos \\theta}\\), tan \u03b1 = \\(\\frac{Q \\sin \\theta}{P+Q \\cos \\theta}\\)
\n\u2192 Relative velocity is defined as the velocity of one body w.r. to other body.<\/p>\n

\u2192 Relative velocity of A w.r. to B = | VA<\/sub> – VB<\/sub>|<\/p>\n

\u2192 Relative velocity of B w.r. to A = | VB<\/sub> – VA<\/sub>|<\/p>\n

\u2192 Dot product of two vectors is given by \\(\\vec{a} \\cdot \\vec{b}\\) = ab cos \u03b8<\/p>\n

\u2192 Cross product of two vectors \\(\\vec{p}\\) and \\(\\vec{Q}\\) is given by \\(\\overrightarrow{\\mathrm{P}} \\times \\overrightarrow{\\mathrm{Q}}=\\mathrm{PQ} \\sin \\theta \\hat{\\mathrm{n}}\\)
\n\u2234 \\(|\\vec{P} \\times \\vec{Q}|=\\left|\\begin{array}{ccc}
\ni & 1 & k \\\\
\nP_x & P_y & P_z \\\\
\nQ_x & Q_y & Q_z
\n\\end{array}\\right|\\)<\/p>\n

\u2192 Two vectors A and B are said to be equal if and only if, they have the same magnitude and the same direction.<\/p>\n

\u2192 The equation of motion for a projectile is given by y = (tan \u03b80<\/sub>)x – \\(\\frac{\\mathrm{g}}{2\\left(\\mathrm{v}_0 \\cos \\theta_0\\right)^2}\\) x2<\/sup> After t seconds (v0<\/sub>) remains the same and final velocity is given by v0<\/sub> = sin \u03b8 – gt<\/p>\n

\u2192 The time taken by the projectile to reach the maximum height is given by ta<\/sub> = \\(\\frac{v_0 \\sin \\theta}{g}\\)
\nThe time of descent is equal to the time of ascent time of flight is given by T = \\(\\frac{2 v_0 \\sin \\theta}{g}\\)<\/p>\n

\u2192 Maximum height reached by the projectile (H) = \\(\\frac{\\left(v_0 \\sin \\theta_0\\right)^2}{2 g}\\)<\/p>\n

\"AP<\/p>\n

\u2192 For angles of projection (45\u00b0 + \u03b1) and (45\u00b0 – \u03b1) the range is the same for a given initial velocity.<\/p>\n

\u2192 Horizontal range is given by R = \\(\\frac{v_0^2 \\sin 2 \\theta_0}{g}\\)<\/p>\n

\u2192 Maximum Range (Rmax<\/sub>) = \\(\\frac{v_0^2}{g}\\)<\/p>\n

\u2192 The velocity of the projectile at any instant t is given by v = \\(\\sqrt{v_x^2+v_y^2}\\) where vx<\/sub> = \u03c50<\/sub> cos \u03b8, vy<\/sub> = v0<\/sub> sin \u03b8 – gt<\/p>\n

\u2192 The resultant acceleration of an object in circular motion is towards the centre only if the speed is constant.<\/p>\n

\u2192 The shape of the trajectory of the motion of an object is not determined by the acceleration alone but also depends on the initial conditions of motion.<\/p>\n

\u2192 The position vector of an object in x – y plane is given by
\n\"AP<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can go through\u00a0AP Inter 1st Year Physics Notes 4th Lesson Motion in a Plane will help students in revising the entire concepts quickly. AP Inter 1st Year Physics Notes 4th Lesson Motion in a Plane \u2192 A physical quantity having only magnitude but no direction is called a scalar. \u2192 A physical quantity having … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":39223,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[13],"tags":[],"jetpack_featured_media_url":"https:\/\/apboardsolutions.com\/wp-content\/uploads\/2022\/09\/Chapter-4-Motion-in-a-Plane.png","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/24952"}],"collection":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/comments?post=24952"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/24952\/revisions"}],"predecessor-version":[{"id":24955,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/24952\/revisions\/24955"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media\/39223"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=24952"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=24952"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=24952"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}