Question

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?

Answer 1

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)