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 April 16, 2024 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.

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

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)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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