Answer:
81.25 m
Explanation:
49 Km/h is initial velocity, converted to m/s we get
[tex]49*\frac {1000}{3600}=13.61 m/s[/tex]
From kinematics equation
[tex]v^{2}=u^{2}+2as[/tex] where v is final velocity, u is initial velocity, a is acceleration, s is distance and making a the subject of formula, [tex]a=\frac {v^{2}-u^{2}}{2s}[/tex] and when it skids, final velocity is zero hence substituting 0 m/s for v, 13.61 m/s for u and 13 m for s
[tex]a=\frac {0^{0}-13.61^{2}}{2*13}=-7.12547 m/s^{2}[/tex]
When the initial velocity is 122.5 Km/h, converted to m/s
[tex]122.5*\frac {1000}{3600}=34.03 m/s[/tex]
From kinematics equation
[tex]v^{2}=u^{2}+2as[/tex]
making s the subject of formula
[tex]s=\frac {v^{2}-u^{2}}{2a}[/tex]
Substituting 0 for v, 34.03 m/s for u, [tex]-7.12547 m/s^{2}[/tex] for a we obtain
[tex]s=\frac {0^{0}-34.03^{2}}{2*-7.12547}=81.25 m[/tex]
