The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola. Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time‘t’ in seconds is given by the polynomial
h(t) such that h(t) = −16t2 + 8t + k.

Slide91.jpeg

Advertisement

Question 41
What is the value of k?
(a) 0  (b) −48   (c) 48  (d) 48/(-16) Slide92.jpeg

Advertisement

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 41 – 45 are based on Case Study -1 The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola. Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time‘t’ in seconds is given by the polynomial h(t) such that h(t) = −16t2 + 8t + k. Question 41 What is the value of k? (a) 0 (b) −48 (c) 48 (d) 48/(−16) Given that h(t) = −16t2 + 8t + k At t = 0, Height is 48 feet Putting t = 0, h(t) = 48 in equation h(t) = −16t2 + 8t + k 48 = − 16(0)2 + 8(0) + k 48 = k k = 48 So, the correct answer is (c)

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
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.