From point A located on a highway (shown in figure above) one has to get by car as soon as possible to point B located in the field at a distance l from the highway. It is known that the car moves in the field η times slower than on the highway. At a distance CD=η2−1xl from point D one must turn off the highway. Find x.
A driver takes 0.20s to apply the brakes after he sees a need for it. This is called the reaction time of the driver. If he is driving a car at a speed of 54km/h and the brakes causes a deceleration of 6.0m/s2, find the distance traveled by the car after he sees the need to put the brakes on.
Two particles A and B move with velocities v1andv2 respectively along the x and y axis. The initial separation between them is 'd' as shown in the figure. Find the least distance between them during their motion
Two particles instantaneously at A and B are 5m, apart and they are moving with uniform velocities, the former towards B at 4m/s and the latter perpendicular to AB at 3m/s. They are nearest at the instant (in seconds)
A train stops at two stations P and Q which are 2 km apart, It accelerates uniformly from Pat1ms2 for 15 seconds and maintains a constant speed for a time before decelerating uniformly to rest at Q. If the deceleration is 0.5ms2, find the time for which the train is travelling at a constant speed.
A street car moves rectilinearly from station A (here car stops) to next station B (here also car stops) with an acceleration varying according to the law f=a−bx, where a and b are positive constants and x is the distance from station A. If the maximum distance between the two stations is x=bNa then find N.
A hunter is at (4,−1,5) units. He observes two preys at P1(−1,2,0) units and P2(1,1,4) respectively. At zero instant he starts moving in the plane of their positions with uniform speed of 5unitss−1 in a direction perpendicular to line P1P2 till he sees P1 and P2 collinear at time T. Time T is