Question:
A train moves from one station to another in 2 hour time. Using the speed-time graph of the motion, calculate distance covered during time interval from 0.75 hr to 1 hr.
A train moves from one station to another in 2 hour time. Using the speed-time graph of the motion, calculate distance covered during time interval from 0.75 hr to 1 hr.
Updated On: Jul 6, 2022
- 10 km
- 5 km
- 15 km
- 20 km
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The Correct Option is A
Solution and Explanation
Distance covered during 0.75 hr. to 1 hr. = Area enclosed under the curve ABC
= Area of $\Delta$BGC + Area of rectangle EFGB
= $\frac{1}{2} \times $ BG $\times $ GC + EF $\times $ FG
= $\frac{1}{2}$(0.25 $\times $ 40 ) + 0.25 $\times $ 20 = 5 + 5 = 10 km
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.