answer these questions?

Question

1. a train starts from rest and moves with a constant acceleration of 2 m per second square for half min. brakes r applied and the train comes to rest in 1 min.find a)total ditance moved by the train
b)the maximum speed attaines by the train

2.a stone is thrown vertically upwards. on its way up it passes point a with speed v and point b 3m higher than a speed v/2. calc. the speed v and maximum height reached by the stone above point b
3.a juggler juggles 5 balls with 2 hands.each ball rises 2 m above her hands. approx how many times per minute does each hand toss a ball.

Answer 1

1.a=2m/s^2, t=30s,u=0v=?
v=u+at
b).v=0+2x30=60m/s answer
area under the graph(triangle)=1/2x90x60=2700m. answer
OR
s=0+1/2x2x900+60x60-1/2x1x3600=900+3600-1800=2700mOK

Answer 2

a)
d = v1^2/(2a1) + v1^2/(2a2)
d = (v1^2/2)(1/(a1) + 1/a2)
v1 = a1t1
d = ((a1t1)^2/2)(1/(a1) + 1/a2)
a2 = v1/t2 = a1t1/t2
d = ((a1t1)^2/2)(1/(a1) + t2/(a1t1))
d = ((a1t1)^2/(2a1)(1 + t2/t1))
d = (a1(t1)^2/2)(1 + t2/t1))
d = (2(30)^2/2)(1 + 60/30))
d = (30)^2(1 + 2)
d = 900*3 = 2,700 m

b)
vmax = v1 = a1t1 = 2*30 = 60 m/s

2.
v = at = √2ah
t = (1/a)√2ah
t = (1/9.81)√2(9.81)(2)
t = 0.63855 s
t1 = 2t5= 0.25542 s