A car starting from rest, moves some distance with constant acceleration 3 ms^(-2). Then it moves with constant deceleration 2 ms ^(-2) and finally becomes stationary. If the total time taken for the complete journey is 100 s, what was maximum velocity of the car e iu during the journey ?

A car starting from rest, moves some distance with constant accelerati

1.	A car starting from rest, moves some distance with constant acceleration 3 ms^(-2). Then it moves with constant deceleration 2 ms ^(-2) and finally becomes stationary. If the total time taken for the complete journey is 100 s, what was maximum velocity of the car e iu during the journey ?
Answer» 100 80 140 120 Solution :`t _(1) + t _(2) = 100 s` For first case,` v . =v _(0) + a _(1) t _(1)` `v.=0 +3t _(1) therefore t _(1) = (v.)/(3) ""…(1)` For second case, `v=v. + a _(2) t _(2) ` `0=v. therefore t _(2) = (v.)/(2) ""…(2)` `therefore t _(1) + t _(2) = (v.)/(3) + (v.)/(2)` `therefore 100 = (5v .)/(6)` `therefore v . = 120 ms ^(-1)`