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Acceleration
A car is travelling at a velocity of 25 metres per second. A pedestrian is crossing the road 60 metres in front . Due to reaction time of driver the car continued to travel another 0.7 seconds at the same speed by applying brakes it stops after another 3.2 seconds. Determine whether the pedestrian hits the car or not.
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*** *** ******* ***** ***** ** ******* of seeing the ********** ******* of him ****** **** ****** ** ** ******* *** *** ********* ** ****** ** *** ******** ***** ** ** ********** **** ***** ******** ***** ** travels for ******* 32 ******* *** then its velocity ******* zero Let s1 = *** distance travelled *** ** ******* and ** * *** ******** ********* ***** applying *** brake and **** *** time the vehicle ***** ********** *** ***** ******** **** the vehicle ******* ** ***** ** **** ** ********* ***** the vehicle ********* ** move ** a speed of 25m/sec *** ** ******* ****** *** ****** *** applied ** ******** *** ******* ** Speed * ******** / **** ** **** 25 * Distance * ***** ******** travelled * ***** * ** = *** ****** *** we **** to ********* **** **** *** ********* ********* ********* ** u- at ***** * is the ******* velocityv ** *** final ********* a is *** ************ ** *** retardation( ** **** **** retardationso ***** is *** sign ** ***** ** * * *** * ** *** time ****** ***** *** ******** ** *** ******* ******* * (ie0) from the ******* ******** of * Now we **** u * ******* * * * = ? and t = ** ** ** **** = ** * 32 * or * * ***** * ***** m/sec^2 ** *** ************************ ** *** ******* **** the ****** *** brake ** applied ** that when ** stops = 78125 * * secNow we **** *** ******* ** *** * *** - 2 * * X * ****** ** *** ******* velocity * is *** final ********** is *** ************ *** * is *** ******** travelled ** the ******* ** ** ********** *** ********** ****** ** **** equation -- v^2 = *** - 2 X a * ** ⇒ *** * **** * * * ***** * s2 *** * *** - 15625 * ***** *** *** * ***** * ** ****** ** *** ******** *** ***** the vehicle ******* ***** applying *** ****** * ** * 40 metres ** *** ***** ******** ********* * *** ** * *** ****** * ** ****** * *** ****** ***** *** ********** ** 60 metres ahead ** *** ******* *** *** ******* ******* 575 metres ****** ** completely stops ***** the ********* will not ** ***
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******** ******* in 07s= ** ** ** * *** mDistance covered ****** ************ after applying brakesInitial ************** ******* and ***** *********** is ********* v ** + ** ** **** deceleration0 = 25 * * ****** * * ***** ************* * *** **** *** * **** + * ** *********** ******** ******** = ** + 175 * 575mSince *** ********** *** *** away ** *** *** *** the *******