A car is moving towards check post with velocity of $$54$$ $$kmh-1$$. When the car is at a distance of $$400$$ m from the check post, the driver applies brakes which causes a deceleration of $$0.3$$ $$ms-2$$. Find the distance (in$$ $$meter) of car from the check post for $$2$$ minutes after applying the brakes.

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Infinity Learn · Accepted Answer

Here, $$u=54$$×$$518=15ms$$−$$1a=$$−$$0.3ms$$−$$2$$∵ $$v=u+ator$$ $$0=15$$−$$0.3t0$$∴ $$t0=50sAfter$$ $$50$$ s, car permanently comes to rest. ∴$$s=u+v2t=15+02$$×$$50=375mThus$$, the distance of car from the check post $$is(400$$−$$375)m=25m$$

Rectilinear Motion

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A car is moving towards check post with velocity of 54 kmh^-1. When the car is at a distance of 400 m from the check post, the driver applies brakes which causes a deceleration of 0.3 ms^-2. Find the distance (in meter) of car from the check post for 2 minutes after applying the brakes.

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Rectilinear Motion

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A car is moving towards check post with velocity of 54 kmh-1. When the car is at a distance of 400 m from the check post, the driver applies brakes which causes a deceleration of 0.3 ms-2. Find the distance (in meter) of car from the check post for 2 minutes after applying the brakes.

Here, u=54×518=15ms−1a=−0.3ms−2∵ v=u+ator 0=15−0.3t0∴ t0=50sAfter 50 s, car permanently comes to rest. ∴s=u+v2t=15+02×50=375mThus, the distance of car from the check post is(400−375)m=25m

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A car is moving towards check post with velocity of 54 kmh^-1. When the car is at a distance of 400 m from the check post, the driver applies brakes which causes a deceleration of 0.3 ms^-2. Find the distance (in meter) of car from the check post for 2 minutes after applying the brakes.