Question:
A boy begins to walk eastward along a street In front of his house, and the graph of his displacement from home is shown in the following figure. His average velocity for the whole time interval is equal to:
A boy begins to walk eastward along a street In front of his house, and the graph of his displacement from home is shown in the following figure. His average velocity for the whole time interval is equal to:
Updated On: Jun 28, 2024
- $8\, m/min$
- $6\, m/min$
- $\frac{8}{3}\, m/min$
- $2 \, m/min$
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Key Idea : The average velocity is defined as total displacement of the body in a particular time interval divided by the time interval.
Displacement from $0$ to $5\, s =40 \,m$
Displacement from $5$ to $10 \,s =40 \,m$
Displacement from $0$ to $15\, s =-20 \,m$
and displacement from $15$ to $20\, s =0\, m$
$\therefore$ Net displacement
$ =40+40-20+0=60\, m $
Total time taken $ = 5 + 5 + 1 5 + 5 =30\, min$
Hence, average velocity $=\frac{\text { displacement }( m )}{\text { time }( min )}$
$=\frac{60}{30}=2\, m / min$
Displacement from $0$ to $5\, s =40 \,m$
Displacement from $5$ to $10 \,s =40 \,m$
Displacement from $0$ to $15\, s =-20 \,m$
and displacement from $15$ to $20\, s =0\, m$
$\therefore$ Net displacement
$ =40+40-20+0=60\, m $
Total time taken $ = 5 + 5 + 1 5 + 5 =30\, min$
Hence, average velocity $=\frac{\text { displacement }( m )}{\text { time }( min )}$
$=\frac{60}{30}=2\, m / min$
Was this answer helpful?
0
1
Top Questions on Motion in a straight line
- A bus moving along a straight highway with speed of 72 km/h is brought to halt within 4s after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is _______m.
- JEE Main - 2024
- Physics
- Motion in a straight line
- The displacement and the increase in the velocity of a moving particle in the time interval of \( t \) to \( (t + 1) \) s are 125 m and 50 m/s, respectively. The distance travelled by the particle in \( (t + 2)^{\text{th}} \) s is \( \_\_\_\_ \) m.
- JEE Main - 2024
- Physics
- Motion in a straight line
- Two cars are travelling towards each other at a speed of \( 20 \, \text{m/s} \) each. When the cars are \( 300 \, \text{m} \) apart, both the drivers apply brakes and the cars retard at the rate of \( 2 \, \text{m/s}^2 \). The distance between them when they come to rest is:
- JEE Main - 2024
- Physics
- Motion in a straight line
- A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity \(4\ ms^{-1}\). The ball strikes the water surface after \(4s\). The height of bridge above water surface is
(Take: \(g=10\ ms^{-2}\))- NEET (UG) - 2023
- Physics
- Motion in a straight line
- A bullet from a gun is fired on a rectangular wooden block with velocity u. When the bullet travels 24 cm through the block along its length horizontally, velocity of bullet becomes \(\frac{u}{3}\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:
- NEET (UG) - 2023
- Physics
- Motion in a straight line
View More Questions
Questions Asked in BCECE exam
- Instantaneous displacement current of 1.0A in the space between the parallel plates of 1μF capacitor can be established by changing the potential difference of:
- BCECE - 2023
- Electromagnetic waves
- What is the r.m.s value of an alternating current which when passed through a resistor produces heat, which is four times that produced by a current of 2A in the same resistor?
- BCECE - 2023
- Alternating current
- In the displacement method of \(l_1\) and \(l_1\) be the sizes of two images, then the size of the object is:
- BCECE - 2023
- Ray optics and optical instruments
- A beaker is a field with water (μ=\(\frac{4}{3}\)) up to a height of 33.25cm. A concave mirror is placed 15 cm above the water level and the image of an object placed at the bottom is formed 25cm below the water level. The focal length of the mirror is nearly :
- BCECE - 2023
- Ray optics and optical instruments
- An air doubble is inside water (μ=\(\frac{4}{3}\)). At what distance from the air bubble should a point object be placed so as to form a real image at the same distance from the dubble? (r is the radius of curvature of the bubble)
- BCECE - 2023
- Ray optics and optical instruments
View More Questions
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.