the velcoity of a trian incrreases at a constant rate `alpha` from 0 to v and then remains constant for same interval and then finally decreases to zero at constant rate `beta`.if the total distance coverd by the the particle x,then show that the total time taken will be
`tx/v+v/2[1/alpha + 1/beta]`.

The speed of a train increases at a constant rate alpha from zero to v and then remains constant for an interval and finally decreases to zero at a constant rate beta . The total distance travelled by the train is l. The time taken to complete the journey is t. Then,

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. total distance covered by the particle is

A car accelerates from rest at a constant rate alpha for sometime , after which it decelerates at a constant rate beta and comes to rest. If T is the total time elapsed, the maximum velocity acquired by the car is

A left storing from rest assends with constants acceleration 'a', then with a constant velcoity and finally stops under a constant retardation 'a'. If the total distance assended is 'x' and the total time taken is 't',show that the time during which the left is assending with constant vlocity is sqrt(t^(2)-(4x)/a

A car starting from rest is accelerates at a constant rate alpha until it attains a speed v. It is then retarded at a constant rate beta until it comes to rest.The average speed of the car during its entire journey is

A car starting from rest is accelerates at a constant rate alpha until it attains a speed v .It is then retarded at a constant rate beta until it comes to rest. The average speed of the car during its entire journey is

A car accelerates from rest at a constant rate alpha for some time, after which it decelerates at a constant rate beta and ultimately comes to rest.If the total time-lapse is t, what is the total distance described and maximum velocity reached ?

A car accelerates from rest at a constant rate alpha for some time, after which it decelerates at a constant rate beta, to come to rest. If the total time elapsed is t seconds. Then evalute (a) the maximum velocity reached and (b) the total distance travelled.

A car acceleration form rest at a constant rate alpha for some time, after which it decelerates at a constant rate beta , to come to rest. If the total time elapsed is t evaluate (a) the maximum velocity attained and (b) the total distance travelled.