0:40 AM 53%) edugen.wileyplus.com Cutnell, Physics, 10e Chapter 02, Problem 37 Z

Question

0:40 AM 53%) edugen.wileyplus.com Cutnell, Physics, 10e Chapter 02, Problem 37 Z at offers help in modeling this problem. A car is Sd17 traveling at a constant speed of 33.0 m/s on a highway. At the instant 2this car passes an entrance ramp, a second car enters the highway from the ramp. The second car starts from rest and has a constant tm 27 acceleration. What acceleration must it maintain, so that the two cars meet for the first time at the next exit, which is 1.74 km away? the tolerance is +-2% f you

Explanation / Answer

here,

sepration between the exits , d = 1.74 km = 1740 m

for car 1,

speed , u = 33 m/s

time taken , t = d/t = 1740 /33 = 52.7 s

for car 2

let the accelration be a

d= 0 + 0.5 * a * t^2

1740 = 0 + 0.5 * a * 52.7^2

solving for a

a = 1.25 m/s^2

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