Let the distance traveled by the bus when man catch the bus be S meter distance traveled by the man when he catch the bus S'=S+48 meter
Given :
Initial velocity of bus u=0
Initial velocity of man u'=10m/sec Acceleration of Bus=1 m/s2
Accelerationof Man=0
We will use formula for displacement
By substituting the values in above equation we get,
Displacement of Bus
Displacement of Man
By substituting the value of S from eq(1) in eq(2)we get
=> t = 8, 12
Taking minimum value t = 8 sec