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Formula Sheet
𝐴𝑥 = 𝐴𝑐𝑜𝑠(𝜃); 𝐴𝑦 = 𝐴𝑠𝑖𝑛(𝜃);
𝐴 = √𝐴𝑥 2 + 𝐴𝑦 2 ;
𝒈 = 𝟗. 𝟖
𝐴𝑦
𝜃 = tan−1 (𝐴 )
⃗⃗ = 𝐴𝐵 cos(𝜃) = 𝐴𝑥 𝐵𝑥 + 𝐴𝑦 𝐵𝑦 + 𝐴𝑧 𝐵𝑧
𝐴⃗. 𝐵
𝑥
Free Fall:
𝑣 = 𝑣0 − 𝑔𝑡
One - dimension motion
𝑣 = 𝑣0 + 𝑎𝑡
1
∆𝑥 = 𝑣0 𝑡 + 𝑎𝑡 2
2
1
∆𝑥 = (𝑣0 + 𝑣)𝑡
2
2
𝑣 = 𝑣02 + 2𝑎∆𝑥
1
∆𝑦 = 𝑣0 𝑡 − 𝑔𝑡 2
2
1
∆𝑦 = (𝑣0 + 𝑣)𝑡
2
2
𝑣 = 𝑣02 − 2𝑔∆𝑦
Elastic collision: 𝑚1 𝑣1𝑖 + 𝑚2 𝑣2𝑖 = 𝑚1 𝑣1𝑓 + 𝑚2 𝑣2𝑓 ;
1
1
1
1
2
2
2
𝑚 𝑣 2 + 2 𝑚2 𝑣2𝑖
= 2 𝑚1 𝑣1𝑓
+ 2 𝑚2 𝑣2𝑓
2 1 1𝑖
𝑚 −𝑚
if 𝑣2𝑖 = 0  𝑣1𝑓 = 𝑚1 +𝑚2 𝑣1𝑖 ;
1
2
2𝑚1
𝑣2𝑓 = 𝑚
1 +𝑚2
Completely inelastic: 𝑚1 𝑣1𝑖 + 𝑚2 𝑣2𝑖 = (𝑚1 + 𝑚2 )𝑣𝑓
Uniform circular Motion:
𝑣=
𝒎
𝒎𝟐
2𝜋𝑟
𝑇
𝑎𝑐 =
Page 1
𝑣2
𝑟
𝑣1𝑖
Page 2