Example 42 - Chapter 6 Class 12 Application of Derivatives (Term 1)
Last updated at April 19, 2021 by
Transcript
Example 42 A car starts from a point P at time t = 0 seconds and stops at point Q. The distance x, in metres, covered by it, in t seconds is given by π₯=π‘^2 (2βπ‘/3). Find the time taken by it to reach Q and also find distance b/w P & Q Given Distance π₯ = t2 (2βπ‘/3) At points P and Q, the Velocity of the car is 0 Let π£ be the velocity of the car π£ = Change in Distance w.r.t ttime π = π π/π π Finding π π£ = π(π‘^2 (2 β π‘/3))/ππ‘ π£ = π(2π‘^2β π‘^3/3)/ππ‘ π£ = 4t β t2 Putting π = 0 4t β t2 = 0 t(4βπ‘)=0 So, t = 0 & t = 4 Thus, it takes 4 seconds to reach from point P to Q Also, Distance PQ = Distance travelled in 4 seconds Finding x at t = 4 π₯ = t2 (2βπ‘/3) π₯ = (4)^2 (2β4/3) = 16 ((6 β 4)/3) = 16 (2/3) = 32/3 π. Hence, Distance PQ = ππ/π π.
Examples
Example 1
Deleted for CBSE Board 2022 Exams
Example 2 Deleted for CBSE Board 2022 Exams
Example 3 Deleted for CBSE Board 2022 Exams
Example 4 Important Deleted for CBSE Board 2022 Exams
Example 5 Deleted for CBSE Board 2022 Exams
Example 6 Deleted for CBSE Board 2022 Exams
Example 7
Example 8 Important
Example 9 Important
Example 10
Example 11 Important
Example 12
Example 13 Important
Example 14
Example 15
Example 16
Example 17 Important
Example 18
Example 19
Example 20
Example 21 Deleted for CBSE Board 2022 Exams
Example 22 Deleted for CBSE Board 2022 Exams
Example 23 Deleted for CBSE Board 2022 Exams
Example 24 Deleted for CBSE Board 2022 Exams
Example 25 Deleted for CBSE Board 2022 Exams
Example 26
Example 27
Example 28 Important
Example 29
Example 30 Important
Example 31
Example 32 Important
Example 33 Important
Example 34
Example 35 Important
Example 36
Example 37 Important
Example 38 Important
Example 39
Example 40 Important
Example 41 Important
Example 42 Important Deleted for CBSE Board 2022 Exams You are here
Example 43 Important Deleted for CBSE Board 2022 Exams
Example 44 Important Deleted for CBSE Board 2022 Exams
Example 45 Important Deleted for CBSE Board 2022 Exams
Example 46 Important
Example 47 Important
Example 48 Important
Example 49 Deleted for CBSE Board 2022 Exams
Example 50 Important
Example 51
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.
