Question #21890

A 1000 kg automobile enters a freeway on ramp at 20 m/s and accelerates uniformly up to 40 m/s in a time of 10 sec. How far does the automobile travel during this time ?

Expert's answer

Due to the law of the point movement:X-coordinate

Xo- initial coordinate

Vo - initial velocity

t - time of moving

a - acceleration

m - mass - isn't necessary for this task

X=Xo+Vo*t+a*t^2/2 - law of the point movement But we need to find the way travelled, so we assume Xo=0 Then X=Vo*t+a*t^2/2=20*10+40*100/2=220m

Xo- initial coordinate

Vo - initial velocity

t - time of moving

a - acceleration

m - mass - isn't necessary for this task

X=Xo+Vo*t+a*t^2/2 - law of the point movement But we need to find the way travelled, so we assume Xo=0 Then X=Vo*t+a*t^2/2=20*10+40*100/2=220m

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