id sid eid entity type asir-2864 1 1 2474-4972 CARDINAL asir-2864 1 2 issn 2474-4980 PERSON asir-2864 2 1 4 CARDINAL asir-2864 2 2 2 CARDINAL asir-2864 2 3 2020 DATE asir-2864 2 4 www.scholink.org/ojs/index.php/asir 41 CARDINAL asir-2864 2 5 newton ORG asir-2864 2 6 mihas1 ORG asir-2864 2 7 1 CARDINAL asir-2864 2 8 didactics of physics, department of elementary education ORG asir-2864 2 9 democritus university ORG asir-2864 2 10 nea chili PERSON asir-2864 2 11 greece GPE asir-2864 2 12 may 3, 2020 DATE asir-2864 2 13 may 11, 2020 DATE asir-2864 2 14 may 19, 2020 DATE asir-2864 2 15 doi:10.22158/asir.v4n2p41 ORG asir-2864 2 16 newton ORG asir-2864 2 17 principia ORG asir-2864 2 18 i. PERSON asir-2864 3 1 first ORDINAL asir-2864 3 2 two CARDINAL asir-2864 3 3 3 CARDINAL asir-2864 5 1 newton PERSON asir-2864 7 1 1 CARDINAL asir-2864 8 1 newton GPE asir-2864 8 2 newton GPE asir-2864 8 3 n.d. GPE asir-2864 9 1 newton ORG asir-2864 10 1 newton GPE asir-2864 10 2 1999 DATE asir-2864 12 1 4 CARDINAL asir-2864 12 2 2 CARDINAL asir-2864 12 3 scholink inc. ORG asir-2864 12 4 1 CARDINAL asir-2864 16 1 kb PERSON asir-2864 16 2 kc PERSON asir-2864 16 3 kbc GPE asir-2864 16 4 kmn ORG asir-2864 16 5 kb ORG asir-2864 16 6 1 CARDINAL asir-2864 16 7 newton ORG asir-2864 17 1 1 CARDINAL asir-2864 18 1 2. CARDINAL asir-2864 18 2 newton ORG asir-2864 18 3 1981 DATE asir-2864 18 4 one CARDINAL asir-2864 18 5 2 CARDINAL asir-2864 20 1 3 CARDINAL asir-2864 22 1 principia PERSON asir-2864 22 2 1964 DATE asir-2864 23 1 2 CARDINAL asir-2864 25 1 4 CARDINAL asir-2864 25 2 2 CARDINAL asir-2864 25 3 scholink inc. ORG asir-2864 26 1 newton GPE asir-2864 26 2 halley PERSON asir-2864 26 3 newton ORG asir-2864 26 4 kepler ORG asir-2864 26 5 libris GPE asir-2864 26 6 n.d. GPE asir-2864 27 1 newton PERSON asir-2864 29 1 newton ORG asir-2864 29 2 hooke ORG asir-2864 29 3 michael, 1994 ORG asir-2864 31 1 newton ORG asir-2864 32 1 three CARDINAL asir-2864 32 2 zr ORG asir-2864 32 3 3 CARDINAL asir-2864 32 4 the perpendiculars pa FAC asir-2864 33 1 𝑉𝑃 ORG asir-2864 33 2 𝑄𝐡 ORG asir-2864 34 1 perpendiculars GPE asir-2864 35 1 d. NORP asir-2864 37 1 v q. PERSON asir-2864 39 1 k. for k β†’ 0 ORG asir-2864 39 2 z. PERSON asir-2864 40 1 two CARDINAL asir-2864 44 1 3 CARDINAL asir-2864 44 2 newton ORG asir-2864 44 3 force www.scholink.org/ojs/index.php/asir ORG asir-2864 45 1 4 CARDINAL asir-2864 45 2 2 CARDINAL asir-2864 45 3 scholink inc ORG asir-2864 45 4 2.1 CARDINAL asir-2864 45 5 newton ORG asir-2864 45 6 chandraseckar chandraseckar PERSON asir-2864 45 7 1995 DATE asir-2864 47 1 q. PERSON asir-2864 47 2 ebd GPE asir-2864 47 3 d. NORP asir-2864 47 4 q. PERSON asir-2864 47 5 𝐡𝑄 = 𝐷𝑃 PERSON asir-2864 47 6 𝐷𝑇 ORG asir-2864 47 7 𝐷𝑃 GPE asir-2864 47 8 𝐷𝑇 ORG asir-2864 48 1 2.2 CARDINAL asir-2864 48 2 newton ORG asir-2864 48 3 principia ORG asir-2864 48 4 i. PERSON asir-2864 49 1 newton ORG asir-2864 49 2 principia ORG asir-2864 50 1 newton ORG asir-2864 50 2 hyperbola GPE asir-2864 50 3 one CARDINAL asir-2864 52 1 Ο‰ ORDINAL asir-2864 52 2 3 CARDINAL asir-2864 53 1 π‘ŽΒ·π‘ π‘–π‘›πœ‘ CARDINAL asir-2864 53 2 π‘Β·π‘ π‘–π‘›πœ‘ DATE asir-2864 53 3 √ 𝛼2·𝑠𝑖𝑛2πœ‘+𝑏2Β·π‘π‘œπ‘ 2πœ‘ PERSON asir-2864 54 1 π‘ŽΒ·π‘ π‘–π‘›πœ‘ ORG asir-2864 56 1 𝑉2 ORG asir-2864 56 2 π‘ŸΒ·π‘π‘œπ‘ πœ”)2·𝜌 CARDINAL asir-2864 57 1 π‘ŽΒ·π‘ PERSON asir-2864 60 1 + 𝑏2 PERSON asir-2864 62 1 + 𝑏2 PERSON asir-2864 64 1 + 𝑏2 PERSON asir-2864 65 1 𝑏 PERSON asir-2864 66 1 + 𝑏2 PERSON asir-2864 67 1 𝑏2 π‘š Β· PERSON asir-2864 67 2 𝑏2 GPE asir-2864 68 1 4 CARDINAL asir-2864 68 2 2 CARDINAL asir-2864 68 3 45 CARDINAL asir-2864 68 4 scholink inc. ORG asir-2864 69 1 3 CARDINAL asir-2864 69 2 three CARDINAL asir-2864 78 1 𝑉𝑄⃗⃗⃗⃗ βƒ—βƒ— ORG asir-2864 78 2 𝑉𝑄⃗⃗⃗⃗ βƒ—βƒ— ORG asir-2864 79 1 𝑉𝑅⃗⃗⃗⃗ PERSON asir-2864 79 2 βƒ— ORG asir-2864 80 1 two CARDINAL asir-2864 82 1 4 CARDINAL asir-2864 83 1 newton GPE asir-2864 83 2 3.1 CARDINAL asir-2864 84 1 3 2 CARDINAL asir-2864 84 2 Ο† ORG asir-2864 84 3 𝑏 βˆ— tan(πœ‘ PERSON asir-2864 85 1 𝑏 π‘Žβˆ—π‘ π‘–π‘›πœ‘ PERSON asir-2864 86 1 4 CARDINAL asir-2864 86 2 2 CARDINAL asir-2864 86 3 scholink inc. ORG asir-2864 88 1 𝑒 = π‘Ÿπ‘₯βˆ™π‘βˆ’π‘Ÿπ‘¦βˆ™π‘Žβˆ™π‘ π‘–π‘›πœ‘ π‘Ÿβˆ™βˆšπ‘2+Ξ±2βˆ™sin2 PERSON asir-2864 90 1 𝑉2 ORG asir-2864 91 1 π‘Ÿ2βˆ™cos3 NORP asir-2864 91 2 3 2 CARDINAL asir-2864 95 1 sin2 PRODUCT asir-2864 96 1 πœ‘ 𝑏 PERSON asir-2864 97 1 πœ‘ f π‘š βˆ™ PRODUCT asir-2864 97 2 βˆ™ ORG asir-2864 97 3 𝑏2 π‘š Β· PERSON asir-2864 97 4 π‘Žπ‘)2 PERSON asir-2864 97 5 𝑏2 GPE asir-2864 97 6 4 CARDINAL asir-2864 98 1 4.1 CARDINAL asir-2864 98 2 two CARDINAL asir-2864 102 1 5 CARDINAL asir-2864 103 1 newton GPE asir-2864 104 1 4 CARDINAL asir-2864 104 2 2 CARDINAL asir-2864 104 3 scholink inc. ORG asir-2864 107 1 βˆ’ π‘₯0 PERSON asir-2864 107 2 Ο† ORG asir-2864 108 1 π‘†π‘π‘ž π‘–π‘βˆ’π‘–π‘ž PERSON asir-2864 111 1 2 CARDINAL asir-2864 111 2 0,5 CARDINAL asir-2864 113 1 two CARDINAL asir-2864 113 2 zero CARDINAL asir-2864 115 1 2 CARDINAL asir-2864 115 2 0,5 CARDINAL asir-2864 116 1 0 CARDINAL asir-2864 119 1 2 CARDINAL asir-2864 120 1 3 2π‘Ž CARDINAL asir-2864 120 2 1 2π‘ŽΒ·cos3 CARDINAL asir-2864 120 3 Ο‰ ORG asir-2864 122 1 Ο‰ CARDINAL asir-2864 123 1 𝑉2 ORG asir-2864 123 2 2π‘Žπ‘š ORDINAL asir-2864 123 3 𝑉0 2π‘π‘œπ‘ πœ” QUANTITY asir-2864 124 1 4.2 CARDINAL asir-2864 125 1 + 1 4Β·π‘Ž CARDINAL asir-2864 126 1 π‘¦βˆ’π‘“ ORG asir-2864 127 1 2 CARDINAL asir-2864 127 2 1 CARDINAL asir-2864 127 3 2 CARDINAL asir-2864 128 1 1 CARDINAL asir-2864 128 2 2 DATE asir-2864 129 1 4 CARDINAL asir-2864 129 2 2 CARDINAL asir-2864 129 3 scholink inc. ORG asir-2864 129 4 6 CARDINAL asir-2864 129 5 1 CARDINAL asir-2864 129 6 2 CARDINAL asir-2864 129 7 zero CARDINAL asir-2864 130 1 2 CARDINAL asir-2864 130 2 𝑉2 ORG asir-2864 131 1 2 CARDINAL asir-2864 131 2 1 π‘Ÿ2 CARDINAL asir-2864 132 1 zero CARDINAL asir-2864 133 1 5 CARDINAL asir-2864 133 2 5.1 CARDINAL asir-2864 133 3 7 CARDINAL asir-2864 134 1 7 CARDINAL asir-2864 134 2 newton GPE asir-2864 135 1 4 CARDINAL asir-2864 135 2 2 CARDINAL asir-2864 135 3 scholink inc. ORG asir-2864 135 4 newton ORG asir-2864 137 1 Ο‰ ORDINAL asir-2864 138 1 2 CARDINAL asir-2864 139 1 𝐹 ∝ 1 π‘π‘œπ‘ 3 ORG asir-2864 139 2 newton GPE asir-2864 142 1 newton ORG asir-2864 144 1 Ο‰ ORG asir-2864 146 1 π‘šπ‘‰2 EVENT asir-2864 146 2 2 sin2 TIME asir-2864 147 1 5.2 CARDINAL asir-2864 147 2 8 CARDINAL asir-2864 147 3 newton GPE asir-2864 148 1 5th ORDINAL asir-2864 148 2 𝑉0 βˆ™ MONEY asir-2864 148 3 2 CARDINAL asir-2864 149 1 o DATE asir-2864 150 1 4 CARDINAL asir-2864 150 2 2 CARDINAL asir-2864 150 3 50 CARDINAL asir-2864 150 4 scholink inc ORG asir-2864 151 1 2/(2ρ*cos2ΞΈ)= CARDINAL asir-2864 152 1 5.3 CARDINAL asir-2864 153 1 sr ORG asir-2864 153 2 rv GPE asir-2864 154 1 𝑉0 CARDINAL asir-2864 154 2 βˆ™ ORG asir-2864 155 1 π‘šβˆ™π‘‰0 2(1+𝛼)2 PERSON asir-2864 155 2 π‘†π‘…βˆ™π‘ π‘–π‘›πœ€)2 ORDINAL asir-2864 155 3 2𝜌 CARDINAL asir-2864 156 1 1 CARDINAL asir-2864 157 1 6 CARDINAL asir-2864 157 2 newton ORG asir-2864 157 3 9 CARDINAL asir-2864 157 4 newton GPE asir-2864 157 5 10 CARDINAL asir-2864 158 1 newton GPE asir-2864 159 1 4 CARDINAL asir-2864 159 2 2 CARDINAL asir-2864 159 3 scholink inc ORG asir-2864 160 1 newton GPE asir-2864 160 2 9 CARDINAL asir-2864 160 3 3 CARDINAL asir-2864 161 1 s. PERSON asir-2864 161 2 2 CARDINAL asir-2864 164 1 7 CARDINAL asir-2864 164 2 π‘Ž+𝑐 π‘Žβˆ’π‘ PERSON asir-2864 164 3 1 2 CARDINAL asir-2864 164 4 π‘£π‘œπ‘œ2 βˆ’ π‘˜Β·π‘š PERSON asir-2864 164 5 1 2 CARDINAL asir-2864 164 6 2 CARDINAL asir-2864 165 1 hyperbola GPE asir-2864 166 1 1 CARDINAL asir-2864 167 1 zero CARDINAL asir-2864 168 1 8 CARDINAL asir-2864 169 1 x_1 ORG asir-2864 169 2 zero CARDINAL asir-2864 170 1 𝑑3𝑉3 PERSON asir-2864 170 2 =v_1sinΟ†_1 PERSON asir-2864 170 3 π‘Ÿπ‘„βƒ—βƒ— βƒ—βƒ— ⃗𝑋𝑉2 βƒ—βƒ— ORG asir-2864 171 1 π‘Ÿπ‘…βƒ—βƒ—βƒ—βƒ—βƒ—π‘‹ 𝑉3 PRODUCT asir-2864 174 1 hyperbolas ORG asir-2864 174 2 newton GPE asir-2864 175 1 4 CARDINAL asir-2864 175 2 2 CARDINAL asir-2864 175 3 scholink inc. ORG asir-2864 175 4 alfred m. b. PERSON asir-2864 176 1 1964 DATE asir-2864 177 1 newton ORG asir-2864 178 1 american journal of physics ORG asir-2864 178 2 32 DATE asir-2864 178 3 959 CARDINAL asir-2864 179 1 https://doi.org/10.1119/1.1970038 bernard PERSON asir-2864 179 2 1981 DATE asir-2864 180 1 newton ORG asir-2864 181 1 american NORP asir-2864 181 2 244(3 CARDINAL asir-2864 181 3 123 CARDINAL asir-2864 182 1 chandrasekhar PERSON asir-2864 182 2 s. (1995 ORG asir-2864 183 1 newton ORG asir-2864 183 2 principia ORG asir-2864 183 3 75 CARDINAL asir-2864 184 1 clarendon GPE asir-2864 185 1 michael PERSON asir-2864 185 2 1994 DATE asir-2864 186 1 hooke ORG asir-2864 186 2 newton GPE asir-2864 186 3 principia ORG asir-2864 186 4 american journal of physics ORG asir-2864 186 5 62 DATE asir-2864 186 6 331 CARDINAL asir-2864 187 1 https://doi.org/10.1119/1.17576 murray PERSON asir-2864 187 2 r. s. PERSON asir-2864 187 3 1967 DATE asir-2864 188 1 127 CARDINAL asir-2864 189 1 si edition PERSON asir-2864 189 2 schaum ORG asir-2864 189 3 mcgraw-hill book company ORG asir-2864 190 1 newton ORG asir-2864 190 2 kepler ORG asir-2864 191 1 n.d. GPE asir-2864 192 1 newton GPE asir-2864 192 2 i. PERSON asir-2864 192 3 1999 DATE asir-2864 193 1 bernard cohen PERSON asir-2864 193 2 anne whitman PERSON asir-2864 193 3 julia budenz PERSON asir-2864 193 4 trans. GPE asir-2864 193 5 454 CARDINAL asir-2864 194 1 university of california ORG asir-2864 195 1 newton ORG asir-2864 195 2 i. ( PERSON asir-2864 195 3 n.d. GPE asir-2864 196 1 andrew motte PERSON asir-2864 196 2 trans. GPE