Question: 10. Upon entering a straight one-way, one-lane tunnel at a speed of 30.0 [m/s] Mario observes a slow-moving van driven by Luigi that is 160.

 10. Upon entering a straight one-way, one-lane tunnel at a speedof 30.0 [m/s] Mario observes a slow-moving van driven by Luigi that

10. Upon entering a straight one-way, one-lane tunnel at a speed of 30.0 [m/s] Mario observes a slow-moving van driven by Luigi that is 160. [m] ahead of him traveling at a speed of 5.00 [m/s]. Mario immediately applies his brakes, but the road is wet and his deceleration rate is only 2.00 [m/s']. (a) Does Mario have time to stop before colliding with Luigi's van? If your answer is no, determine how far into the tunnel and at what time the collision occurs. If your answer is yes, determine the distance of closest approach between Mario's car and the van. (b) How would your answer change if Luigi were 155. [m] ahead when Mario sees Luigi's van and starts braking? (c) sketch position vs time, velocity vs time, and acceleration vs time graphs for the two cases described above.Chapter 2 HW: 9,10 9. A rocket is fired straight upward on Planet Spiro (downward acceleration of gravity on Planet Spiro = -10.0 [m/s*]). The rocket starts at rest from the ground with a net total upward acceleration of 20.0 [m/s*]. It runs out of fuel at the end of 4.00 [s] and continues to coast upward, reaching a maximum height before falling back to Earth. (a) Find the rocket's height when it runs out of fuel; (b) find the rocket's velocity when it runs out of fuel; (c) find the maximum altitude the rocket reaches; (d) find the rocket's velocity the instant before the rocket crashes into the ground; and (e] find the total elapsed time from launch to ground impact. (f) Sketch graphs of position vs time, velocity vs time, and acceleration vs time for the rocket's flight

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