Question

What acceleration will cause a bus to travel a distance of 200 meters in 10 sec if it starts from rest

Answer 1

Wow, a "dragster bus"

v = at + c , a is the acceleration, v is the velocity and c is a constan
when t = 0, v = 0
so c = 0 and v = at

s = (1/2)at^2 + k , were s is distance and k is a constant
when t = 0 , s=0 and thus k = 0

we have s = (1/2)at^2
(our physics tutors probably would have started here)

when t = 10 , s = 200
200 = (1/2)a(100)
400 = 100a
a = 4

the bus would have to accelerate at 4 m/sec^2