Answer on Mechanics | Relativity Question for fritz
V = at ==> t = V/a,
where V is velocity, a is acceleration and t is the time of acceleration. Also we know that
L = at²/2 ==> a = 2L/t²,
where L is the stop distance. So,
a = 2L/t² = 2L/(V/a)² = 2L/(V²/a²) = 2a²L/V²
1 = 2aL/V² ==> a = V²/(2L) = (100.0[km/h])²/(2*37.19[m]) = (100.0*1000/3600[m/s])²/(2*37.19[m]) ≈ 10.37 m/s².
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