Speedy sue, driving at 34.0 m/s, enters a one-lane tunnel. she then observes a slow-moving van 160 m ahead traveling at 5.40 m/s. sue applies her brakes but can accelerate only at −1.90 m/s2 because the road is wet. will there be a collision? yes no

Yes, there will be collision.

Explanation

Initial relative velocity u  = 34-5.4 = 28.6 m/s

required final relative velocity  v = 0

Acceleration , suppose be a .

Distance traveled =d = 160 m

Using the formula for relative motion,

v² - u² = 2as

0 - 28.6²=2as

a = - 2.55 m s⁻².

Since this required value is more than maximum  braking deceleration so , there will be collision.

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