
Yeh section aapko Class 11 Physics ke NCERT Exemplar book se kinematics chapter ke mukhya numerical problems aur unke solutions ke baare mein batayega. Humein focus rahega motion in a straight line, equations of motion, relative velocity, aur graphs par.
Kinematics physics ka woh branch hai jo motion ko describe karta hai without considering uske causes. Class 11 ke NCERT syllabus mein, yeh ek fundamental chapter hai. Aaiye kuch important numerical types aur unhe solve karne ke tarike samjhte hain.
In problems mein, aapko three equations of motion ka use karna hota hai: v = u + at, s = ut + ½ at², aur v² = u² + 2as. Example: Ek car rest se start karti hai aur 5 m/s² ke acceleration se chalti hai. 10 seconds baad uska velocity aur displacement calculate karo.
Solution:
Given: u = 0, a = 5 m/s², t = 10 s.
v = u + at = 0 + (5)(10) = 50 m/s.
s = ut + ½ at² = 0 + ½*(5)*(100) = 250 m.
Relative velocity ka concept do bodies ke relative motion ko samajhne ke liye important hai. Jaise, ek train 20 m/s se east ki taraf ja rahi hai aur ek car 15 m/s se same direction mein. Car se dekhte hue train ki relative velocity kya hogi?
Solution:
Relative Velocity = Velocity of Train - Velocity of Car = 20 - 15 = 5 m/s towards east.
Velocity-time (v-t) graphs aur displacement-time (s-t) graphs se bahut saari information milti hai. V-t graph ka slope acceleration deta hai aur area under graph displacement deta hai. Exemplar book mein aise graphs analyze karne ke liye kai problems diye gaye hain.
Yahan acceleration constant hota hai, g = 9.8 m/s² (downwards). Ek ball ko 50 m height se chhodne par, ground tak pahunchne mein kitna time lagega? Ismein u = 0, s = 50 m, a = g use karna hoga.
Solution:
Using s = ut + ½ gt²
50 = 0 + ½*(9.8)*t²
t² = 50/4.9 ≈ 10.2
t ≈ 3.19 seconds.
Exemplar book mein kuch tricky problems hain jinme average velocity, instantaneous velocity, aur variable acceleration se related numericals aate hain. Inhe solve karne ke liye basic definitions clear honi chahiye. Always remember, average velocity = total displacement / total time. Instantaneous velocity time ke respect mein displacement ka derivative hoti hai.
Is chapter se board exams aur competitive exams dono mein questions aate hain. Regular practice se aap in numericals ko easily solve kar payenge.