A car accelerates from rest at a constant rate $4m/s^2$ for sometime after which it deaccelerates at constant rate $3m/s^2$ to come to rest. If total time is 14s then average speed of car is

Q. A body starts from rest with acceleration $2{\text{m/s}}^2$ till it attains the maximum velocity, then retards to rest with $3{\text{m/s}}^2$. If total time taken is $10$ seconds then maximum speed attained is

Q. A car accelerates from rest at a constant rate $\alpha$ for sometime, after which it decelerates at a constant rate $\beta$ to come to rest. If $T$ is the total time, then maximum speed of the car during this time is

Q. A car starts from rest and moves with an acceleration $4m/s^2$. Find the speed after $6$ seconds?

Q. A car acceleration from rest at a constant rate 10 $m/s^2$ for some time after which it accelerates at constant rate 5 $m/s^2$ and then comes to rest. Total time elapsed is 15 s. Maximum velocity of the car is
(i) while average velocity of the car during its deceleration is
(ii) Distance traveled by the car at the instant when its velocity is half of its maximum value is (iii) or (iv).