Question 41 (Case Based Question) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards
Last updated at May 29, 2023 by Teachoo
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.
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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)
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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