Question #262328

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?


1
Expert's answer
2021-11-07T19:25:26-0500

v0=0v_0=0

s1=1km=1000mss _1= 1km=1000\frac{m}{s}

v1=100msv_1= 100\frac{m}{s}

v1=v0+at=atv_1 = v_0+at=at

at=100at = 100

s=v0t+at22s = v_0t+\frac{at^2}{2}

s1=at22=att2=50ts_1=\frac{at^2}{2}= at*\frac{t}{2}=50t

t=20st = 20s

a=v1t=10020=5ms2a = \frac{v_1}{t}=\frac{100}{20}=5\frac{m}{s^2}


Answer: 5ms2\text{Answer: }5\frac{m}{s^2}


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