An automobile,travelling at 40, km/h,can be s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Using the equation of motion $v^2 - u^2 = 2as$,where $v$ is the final velocity,$u$ is the initial velocity,$a$ is the acceleration (deceleration),

Vedclass · Accepted Answer

$160$

Vedclass · Answer

(B) Using the equation of motion $v^2 - u^2 = 2as$,where $v$ is the final velocity,$u$ is the initial velocity,$a$ is the acceleration (deceleration),and $s$ is the stopping distance.For the first case: $u_1 = 40\, km/h$,$v_1 = 0$,$s_1 = 40\, m$.$0^2 - u_1^2 = 2a(40) \implies a = -u_1^2 / 80$.Since the deceleration $a$ is constant for the same braking force,we have $s \propto u^2$.Therefore,$s_2 / s_1 = (u_2 / u_1)^2$.Given $u_2 = 80\, km/h$,$u_1 = 40\, km/h$,and $s_1 = 40\, m$.$s_2 = 40 	imes (80 / 40)^2 = 40 	imes 2^2 = 40 	imes 4 = 160\, m$.The minimum stopping distance is $160\, m$.

An automobile,travelling at $40\, km/h$,can be stopped at a distance of $40\, m$ by applying brakes. If the same automobile is travelling at $80\, km/h$,the minimum stopping distance,in metres,is (assume no skidding)..........$m$

Similar Questions

$A$ particle moves a distance $x$ in time $t$ according to the equation $x = (t + 5)^{-1}$. The acceleration of the particle is proportional to:

$A$ car is moving along a straight road with uniform acceleration. It passes through two points $P$ and $Q$ separated by a distance $s$ with velocities $30\; km/h$ and $40\; km/h$ respectively. Find the velocity of the car midway between $P$ and $Q$.

$A$ car moving at a speed of $30 \, km/hr$ comes to a stop after traveling $8 \, m$ when the brakes are applied. If the same car is moving at a speed of $60 \, km/hr$,what distance (in $m$) will it travel before coming to a stop after the brakes are applied?

The velocity of a particle is $v = v_{0} + gt + Ft^{2}$. Its position is $x = 0$ at $t = 0$; then its displacement after time $t = 1$ is:

An alpha particle enters a hollow tube of $4 \, m$ length with an initial speed of $1 \, km/s$. It is accelerated in the tube and comes out of it with a speed of $9 \, km/s$. The time for which it remains inside the tube is

Vedclass Test Series

Exam Paper Generator

Online Exam Module