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Ask your question hereA car accelerates from rest at a constant rate a for sometime,after which it decelerates at a contant rate b to come to rest.if

the total time lapsed is t.calculate the max velocity reached and d total distance travelled?



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S1 = 1/2  * a * t1 ²                   v1  = a * t1          --- eq 1   
 s2 =  v1 ² / 2 b                      v1 = b * (t - t1)    -- eq 2

from eq 1 and 2,    t1 =    b t / (a+b)
max velocty reached :  a * b t / (a+b)
d = s1+s2 =  v1² / 2a  +  v1² / 2b   =   a b t² / 2(a+b)
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