CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]

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 Sept. 6, 2021 by

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)

CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]

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.