"the slope of graph is equal to acceleration"
tan alpha=3.00=(v_f-4.30)/5
3*5=v_f-4.30
15=v_f-4.30
v_f=15+4.30
v_f=19.30" "m/s
"area under graph is equal to displacement "
delta x=(4.30+19.30)/2*5
Delta x=(23.60)/2*5
Delta x=59" "meters
"or..."
v_f=v_i+a*t
v_f:"final speed"
a:"acceleration"
t:"time elapsed"
v_f=4.30+3*5
v_f=4.30+15
v_f=19.30" "m/s
Delta x=v_i*t+1/2*a*t^2
Delta x=4.30*5+1/2*3*5^2
Delta x=21.5+37.5
Delta x=59" "meters