A sports car must achieve a velocity of 100m/s after passing the entry tollgate of an expressway. If it can do this after traveling 1km, what must it's acceleration ve?
v0=0v_0=0v0=0
s1=1km=1000mss _1= 1km=1000\frac{m}{s}s1=1km=1000sm
v1=100msv_1= 100\frac{m}{s}v1=100sm
v1=v0+at=atv_1 = v_0+at=atv1=v0+at=at
at=100at = 100at=100
s=v0t+at22s = v_0t+\frac{at^2}{2}s=v0t+2at2
s1=at22=at∗t2=50ts_1=\frac{at^2}{2}= at*\frac{t}{2}=50ts1=2at2=at∗2t=50t
t=20st = 20st=20s
a=v1t=10020=5ms2a = \frac{v_1}{t}=\frac{100}{20}=5\frac{m}{s^2}a=tv1=20100=5s2m
Answer: 5ms2\text{Answer: }5\frac{m}{s^2}Answer: 5s2m
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