Verified answer

x = x0 + v0t + (1/2)at²

a = Δv/Δt

= 20/8

= 2.5m/s²

x0 = 0

v0t = 0

t = 8s

x = (1/2)at²

=(1/2)(2.5)²

= 3.125 meters.

This is the distance it travels in the first 8 seconds.

For the next 4 seconds

x=v*t

=(20)(4)

80m

For the next 7 seconds,

v² = v0² + 2aΔx

a = Δv/Δt

= (45-20)/7

=3.57m/s²

Δx = (v²-v0²) / 2a

= (45²-20²)/(2*3.57)

=227.6 meters

Now just add up all the distances

3.125 + 80 + 227.6

=310.725 meters <==answer

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