The acceleration of a cart started at t =0, varies with time as shown in figure (3-E2). Find the distance travelled in 30 seconds draw the position-tome graph.
In fiirst 10 sec,S1=ut+12 at2
=0+12 5.102=250ft
v=u=at
=0+5×10=50ftsec
∴ From 10 to 20 sec Δ=20-10=10 sec) it moves with uniform velocity of 50 ftsec)
Distance, S2=50×10=500ft
Between 20 sec to 30 acceleration is constant i,e.-5fts^2
At 20 sec, velocity is 50ftsec
t=30-20=10 s
S3=ut+12at2
50×10+12(−5)102
=500-250=250 m
Total distance travelled is 30 sec
=S1+S2+S3
=250+500+250
=1000 ft