CAR X PASSES CAR Y AT 72 MPH CAR Y WAS AT A STANDSTILL IT TA

CAR X PASSES CAR Y AT 72 MPH. CAR Y WAS AT A STANDSTILL. IT TAKES CAR Y 2 MILES CATCH CAR X. IF CAR X NEITHER ACCELERATE NOR DECELERATE, HOW FAST DOES CAR Y HAS TO GO TO CATCH UP WITH CAR X?
(CAN YOU PLEASE PROVIDE FROMULA)

Solution

Car x at 72 mph travels 2 miles in 100 seconds, so car y has to get to the same point in 100 seconds.
No info is given as to the acceleration of car y, so we\'ll assume it accelerates uniformly over the 2 miles, or 100 seconds. If that assumption is not valid, more info must be provided.
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Car y goes 2 miles in 100 seconds, 10560 feet in 100 seconds.
Its average speed is 105.6 ft/sec. Since it starts at zero, its speed at the end of 2 miles is twice that, = 211.2 feet/second.
211.2 fps = 144 mph.
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This is not a well posed problem, too much is left to assumption.