6. Recall equations (4b), (4b), (4c), (4c'), (4d), and (4d') thus: X = X0 + ¹/2 (Vxo +Vx) t y = yo + ¹/2 (Vyo+Vy) t X = Xo+Vxot + ½ axt² (4b) (4b') (4c) (4c¹') (4d) (4d') y = yo + Vyot + ¹2 ayt² vx² = Vxo² + 2ax(x-Xo) vy² = Vyo² + 2ay(y-yo) a) Show that equations (4b) and (4b') can be expressed in vector form as: r=ro + 1/2 (Vo + v) t b) Show that equations (4c) and (4c') can be expressed in vector form as: r=ro + vot + 1/2 at²

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Chapter32: Medical Applications Of Nuclear Physics
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PS3-6

Answer letters (a) and (b) using the data equations provided below. 

6. Recall equations (4b), (4b), (4c), (4c'), (4d), and (4d') thus:
X = X0 + ¹/2 (Vxo +Vx) t
y = yo + ¹/2 (Vyo+Vy) t
X = Xo+Vxot + ½ axt²
(4b)
(4b')
(4c)
(4c¹')
(4d)
(4d')
y = yo + Vyot + ¹2 ayt²
vx² = Vxo² + 2ax(x-Xo)
vy² = Vyo² + 2ay(y-yo)
a) Show that equations (4b) and (4b') can be expressed in vector form as:
r=ro + 1/2 (Vo + v) t
b) Show that equations (4c) and (4c') can be expressed in vector form as:
r=ro + vot + 1/2 at²
Transcribed Image Text:6. Recall equations (4b), (4b), (4c), (4c'), (4d), and (4d') thus: X = X0 + ¹/2 (Vxo +Vx) t y = yo + ¹/2 (Vyo+Vy) t X = Xo+Vxot + ½ axt² (4b) (4b') (4c) (4c¹') (4d) (4d') y = yo + Vyot + ¹2 ayt² vx² = Vxo² + 2ax(x-Xo) vy² = Vyo² + 2ay(y-yo) a) Show that equations (4b) and (4b') can be expressed in vector form as: r=ro + 1/2 (Vo + v) t b) Show that equations (4c) and (4c') can be expressed in vector form as: r=ro + vot + 1/2 at²
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