train A which travels 80m/s is 1,500m behind trainB which is traveling at 30m/s in the same direction on the same track.at what rate must train Adecelerate to avoid a crash?
if anyone could help,
thanks Ronan.
train A which travels 80m/s is 1,500m behind trainB which is traveling at 30m/s in the same direction on the same track.at what rate must train Adecelerate to avoid a crash?
if anyone could help,
thanks Ronan.
The minimum constant deceleration will have train A travelling at 30 m/s when it is at the same position as train B.
Let the distance travelled by train B at time be . Then
.... (1)
Data for Train A:
m
u = 80 m/s
v = 30 m/s
s
Use the usual formula :
.... (2)
Solve equations (1) and (2) simultaneously for .
So for Train A you now have:
u = 80 m/s
v = 30 m/s
a = ?
Use an appropriate formula to solve for a.