A car starts from rest and moves with uniform acceleration 'a' on a straight road from time

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2.Motion in Straight Line

hard

A car starts from rest and moves with uniform acceleration $'a'$ on a straight road from time $t = 0$ to $t = T$ . After that, a constant deceleration $'a'$ brings it to rest. In this process the average speed of the car is

$\frac {aT}{4}$

$\frac {3aT}{2}$

$\frac {aT}{2}$

$aT$

Solution

$\mathrm{v}_{\mathrm{m}}=\mathrm{aT}$

so, $s=\frac{1}{2} a T^{2}+\frac{1}{2} a T^{2}$

${v_{{\rm{avg}}{\rm{.}}}} = \frac{{\rm{s}}}{{\rm{t}}} = \frac{{\frac{1}{2}{\rm{a}}{{\rm{T}}^2} + \frac{1}{2}{\rm{a}}{{\rm{T}}^2}}}{{2{\rm{T}}}} = \frac{1}{2}{\rm{aT}}$

Standard 11

Physics

A horse rider covers half the distance with $5\,m / s$ speed. The remaining part of the distance was travelled with speed $10\,m / s$ for half the time and with speed $15 m / s$ for other half of the time. The mean speed of the rider averaged over the whole time of motion is $\frac{x}{7}\,m / s$. The value of $x$ is

hard

(JEE MAIN-2023)

In $1.0\, s$ a particle goes from point $A$ to point $B$, moving in a semicircle of radius $1.0\, m$ (see figure). The magnitude of the average velocity is ……… $m/s$

easy

(IIT-1999)

A man walks on a straight road from his home to a market $2.5\; km$ away with a speed of $5 \;km h ^{-1} .$ Finding the market closed, he instantly turns and walks back home with a speed of $7.5 \;km h ^{-1} .$ What is the average speed of the man over the interval of time $0$ to $40\; min$ ?

hard

During the first $18\,min$ of a $60\,min$ trip, a car has an average speed of $11\,m / s$. What should be the average speed for remaining $42\,min$ so that car is having an average speed of $21\,m / s$ for the entire trip?

easy

Draw the $x \to t $ graphs which represent the positive, negative and zero velocity

medium

A car starts from rest and moves with uniform acceleration $'a'$ on a straight road from time $t = 0$ to $t = T$ . After that, a constant deceleration $'a'$ brings it to rest. In this process the average speed of the car is

Solution

Similar Questions

In $1.0\, s$ a particle goes from point $A$ to point $B$, moving in a semicircle of radius $1.0\, m$ (see figure). The magnitude of the average velocity is ……… $m/s$

A man walks on a straight road from his home to a market $2.5\; km$ away with a speed of $5 \;km h ^{-1} .$ Finding the market closed, he instantly turns and walks back home with a speed of $7.5 \;km h ^{-1} .$ What is the average speed of the man over the interval of time $0$ to $40\; min$ ?

During the first $18\,min$ of a $60\,min$ trip, a car has an average speed of $11\,m / s$. What should be the average speed for remaining $42\,min$ so that car is having an average speed of $21\,m / s$ for the entire trip?

Draw the $x \to t $ graphs which represent the positive, negative and zero velocity

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