A car is travelling on a road. The maximum velocity the car can attain is $$24$$ $$ms-1$$ and the maximum deceleration is $$4$$ $$ms-2$$. If car starts from rest and comes to rest after travelling $$1032$$ m in the shortest time of $$56$$ s, the maximum acceleration that the car can attain is

Question

A car is travelling on a road. The maximum velocity the car can attain is $$24$$ $$ms-1$$ and the maximum deceleration is $$4$$ $$ms-2$$. If car starts from rest and comes to rest after travelling $$1032$$ m in the shortest time of $$56$$ s, the maximum acceleration that the car can attain is

Infinity Learn · Accepted Answer

Area of $$v-t$$ graph $$=displacement$$∴ $$1032=1256+t0$$×$$24or$$ $$t0=30$$ sDeceleration time $$t1=244=6$$ s∴ Acceleration time $$t2=56-t0-t1=20$$ s∴ Acceleration $$=2420=1.2$$ $$m/s2$$

A car is travelling on a road. The maximum velocity the car can attain is $24 {ms}^{- 1}$ and the maximum deceleration is $4 {ms}^{- 2}$ . If car starts from rest and comes to rest after travelling $1032 m$ in the shortest time of $56 s$ , the maximum acceleration that the car can attain is

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A car is travelling on a road. The maximum velocity the car can attain is 24 ms-1 and the maximum deceleration is 4 ms-2. If car starts from rest and comes to rest after travelling 1032 m in the shortest time of 56 s, the maximum acceleration that the car can attain is

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Ready to Test Your Skills?

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A car is travelling on a road. The maximum velocity the car can attain is $24 {ms}^{- 1}$ and the maximum deceleration is $4 {ms}^{- 2}$ . If car starts from rest and comes to rest after travelling $1032 m$ in the shortest time of $56 s$ , the maximum acceleration that the car can attain is