A small electric car has a maximum constant acceleration of 1,m / s ^2 , a maximum constant decelera

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2.Motion in Straight Line

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A small electric car has a maximum constant acceleration of $1\,m / s ^2$, a maximum constant deceleration of $2\,m / s ^2$ and a maximum speed of $20\,m / s$. The amount of time it would take to drive this car $1\,km$ starting from rest and finishing at rest is $.........\,s$

$15$

$50$

$35$

$65$

Solution

(d)

Car will acquire maximum speed i.e. $20\,m / s$ in $20\,s$ with an acceleration of $1\,m / s ^2$.In retardation, it will take $10\,s$. Suppose it moves with constant speed of $20\,m / s$ of $t$ second. Then,

Area of $v-t$ graph $=$ Total displacement or $\frac{1}{2}[t+30+t] \times 20=1000$ or

$\therefore$ Total time of journey $=(30+t)=65\,s$

Standard 11

Physics

A bullet moving with a velocity of $200 \,cm/s$ penetrates a wooden block and comes to rest after traversing $4 \,cm$ inside it. What velocity is needed for travelling distance of $9 \,cm$ in same block……….$cm/s$

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A motor car moving at a speed of $72\, km/h$ cannot come to a stop in less than $3.0\,\sec $ whilefor a truck this time interval is $5.0\,\sec $. On a highway, the car is behind the truck both moving at $72\, km/h$. The truck gives a signal that it is going to stop at emergency. At what distance the car should be from the truck so that it does not bump onto (collide with) the truck. Human response time is $0.5\,\sec $.

hard

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hard

Find the acceleration of particle at $x = 5\,m$ with the help of graph. where $v-$ velocity and $x-$ displacement

medium

A particle is moving in a straight line with initial velocity and uniform acceleration $a$. If the sum of the distance travelled in $t^{\text {th }}$ and $( t +1)^{ th }$ seconds is $100 cm$, then its velocity after $t$ seconds, in $………cm / s$, is

medium

A small electric car has a maximum constant acceleration of $1\,m / s ^2$, a maximum constant deceleration of $2\,m / s ^2$ and a maximum speed of $20\,m / s$. The amount of time it would take to drive this car $1\,km$ starting from rest and finishing at rest is $.........\,s$

Solution

Similar Questions

A bullet moving with a velocity of $200 \,cm/s$ penetrates a wooden block and comes to rest after traversing $4 \,cm$ inside it. What velocity is needed for travelling distance of $9 \,cm$ in same block……….$cm/s$

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Find the acceleration of particle at $x = 5\,m$ with the help of graph. where $v-$ velocity and $x-$ displacement

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