a partical starts from rest, accelerated at 2 m/s for 10s and then goes for constant speed for 30s and then decelerates at 4m/s till it stop.what distance travels by it?
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Explanation:
a= 2m/s^2
t1= 10sec
u = 0 m/s
s1 = ut + 1/2at^2
=(0)(10) + 1/2(2)(10)^2
= 10 × 10
s1= 100m
v1 = u + at
= 0 + (2)(10)
= 20 m/s
t2 = 30 sec
v = 20m/s
s2 = v × t2
= 20 × 30
= 600 m
-a = 4
v = 0
u = v1 = 20
v^2 = u^2 +2as
(0)^2 = (20)^2 + 2(-4)s
0 = 400 - 8s
8s = 400
s = 400/8
= 50m
total s = 50+600+100
= 750m
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