A car is travelling on a straight road. The maximum velocity the car can attain is $$24$$ $$ms-1$$. The maximum acceleration and deceleration it can attain are $$1$$ $$ms-2$$ and $$4$$ $$ms-2$$ respectively. The shortest time the car takes from rest to rest in a distance of $$200$$ m is,

Question

A car is travelling on a straight road. The maximum velocity the car can attain is $$24$$ $$ms-1$$. The maximum acceleration and deceleration it can attain are $$1$$ $$ms-2$$ and $$4$$ $$ms-2$$ respectively. The shortest time the car takes from rest to rest in a distance of $$200$$ m is,

Infinity Learn · Accepted Answer

Deceleration is four times. Therefore, deceleration time should be $$14th$$.$$vmax=a1(4t)=(1)(4t)=4tArea$$ of $$v-t$$ graph $$=$$ displacement∴ $$200=12(5t)(4t)or$$ $$t=20$$ sTotal journey time $$=5t=22.4$$ s

A car is travelling on a straight road. The maximum velocity the car can attain is $24 {ms}^{- 1}$ . The maximum acceleration and deceleration it can attain are $1 {ms}^{- 2}$ and $4 {ms}^{- 2}$ respectively. The shortest time the car takes from rest to rest in a distance of $200 m$ is,

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A car is travelling on a straight road. The maximum velocity the car can attain is 24 ms-1. The maximum acceleration and deceleration it can attain are 1 ms-2 and 4 ms-2 respectively. The shortest time the car takes from rest to rest in a distance of 200 m is,

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A car is travelling on a straight road. The maximum velocity the car can attain is $24 {ms}^{- 1}$ . The maximum acceleration and deceleration it can attain are $1 {ms}^{- 2}$ and $4 {ms}^{- 2}$ respectively. The shortest time the car takes from rest to rest in a distance of $200 m$ is,