8.study the velocity time graph and calculate
(a) the acceleration from A to B-
(b) the acceleration from B toC
(o) The distance covered in the region ABE-
(d) The average velocity from Cto D
(e) The distance covered by region
Answers
Consider the attached figure while going through the following steps.
Given:
A graph of velocity v/s time notations.
To find:
study the velocity time graph and calculate
(a) the acceleration from A to B-
(b) the acceleration from B to C
(c) The distance covered in the region ABE-
(d) The average velocity from C to D
(e) The distance covered by region
Solution:
(a) The acceleration from A to B is
a = (25 - 0) / (3 - 0) = 8.3 m/s2
(b) The acceleration from B to C
a = (20 - 25 ) / (4 - 3) = -5 m/s2
(c) The distance covered in the region ABE is,
Distance = Area of triangle ABE = 1 / 2 × 3 × 25 = 37.5 m
(d) The average velocity from C to D is,
V = (20 - 0) / 2 = 10 m/s
(e) The distance covered by region is,
This Distance = Area of trapezium BCFE = 1 / 2 (25 + 20) × (4 - 3) = 22.5 m
Explanation:
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