Elvis is in a speeding car moving in the trajectory x(t) = (40 m/s)t along the x axis and t is the time in seconds. An Elvis fan is moving in the trajectory x(t) = −400 m − (20 m/s)t + (4 m/s^2 )t^2 . Sketch the initial positions of Elvis and the fan’s car in an appropriate coordinate system. Find the time at which the fan’s car has zero instantaneous velocity, v(t) = 0. Find when Elvis and the...
A probe has been launched vertically from the surface of Mars. At time t 0, it has reached a height of y1,0 320 m, and is moving upward at vy10 80 m/s when its engines cut out. At the same moment, the mother ship is y20 1500 m from the Martian surface, moving down directly toward the probe at 25 m/s and slowing down at the rate of 0.80 m/s2. On the surface of Mars, the gravitational acceleration is gMars-3.72...
At time t = 0 a car has a velocity of 16 m/s. It slows down with an acceleration given by a = 0.50t, in m/s2 for t in seconds. At the end of 2.0 s it has traveled: A) 0 B) 12 m C) 14 m D) 34 m E) 33 m. The answer is E. I got D. Why is the answer E?
020 (part 1 of 3) 10.0 points You are driving at the speed of 34.8 m/s (77.862 mph) when suddenly the car in front of you (previously traveling at the same speed) brakes and begins to slow down with the largest deceleration possible without skid- ding. Considering an average human reaction, you press your brakes 0.576 s later. You also brake and decelerate as rapidly as possible without skidding. Assume that the coefficient of static friction is 0.722 between both...
Two cars drive on a straight highway. At time t=0, car 1 passes mile marker 0 traveling due east with a speed of 19.0 m/s . At the same time, car 2 is 1.2 km east of mile marker 0 traveling at 27.0 m/s due west. Car 1 is speeding up with an acceleration of magnitude 0.10 m/s2 , and car 2 is slowing down with an acceleration of magnitude 0.30 m/s2 . At what time do the cars pass...
Two cars drive on a straight highway. At time t=0, car 1 passes mile marker 0 traveling due east with a speed of 16.0 m/s . At the same time, car 2 is 0.90 km east of mile marker 0 traveling at 30.0 m/s due west. Car 1 is speeding up with an acceleration of magnitude 0.40 m/s2 , and car 2 is slowing down with an acceleration of magnitude 0.50 m/s2. At what time do the cars pass next...
Two cars drive on a straight highway. At time t=0, car 1 passes mile marker 0 traveling due east with a speed of 20.0 m/s . At the same time, car 2 is 1.2 km east of mile marker 0 traveling at 25.0 m/s due west. Car 1 is speeding up with an acceleration of magnitude 0.30 m/s2 , and car 2 is slowing down with an acceleration of magnitude 0.50 m/s2 . At what time do the cars pass...
Two cars drive on a straight highway. At time t = 0, car 1 passes mile marker 0 traveling due east with a speed of 24.0 m/s. At the same time, car 2 is 1.2 km east of mile marker 0 traveling at 30.0 m/s due west. Car 1 is speeding up with an acceleration of magnitude 2.8 m/s^2, and car 2 is slowing down with an acceleration of magnitude 3.0m/s^2. At what time do the cars pass next to...
Two cars drive on a straight highway. At time t=0, car 1 passes mile marker 0 traveling due east with a speed of 20.0 m/s . At the same time, car 2 is 1.1 km east of mile marker 0 traveling at 28.0 m/s due west. Car 1 is speeding up with an acceleration of magnitude 0.30 m/s2 , and car 2 is slowing down with an acceleration of magnitude 0.40 m/s2. At what time do the cars pass next...
Busy car wash Suppose you run a between time 0 and time s > 0 is a Poisson process with rate A = 1. The number of red cars that come to the car wash between time 0 and time s > 0 is a Poisson process with rate 2. The number of blue cars that come to car wash between time 0 and time s >0 is a Poisson process with rate 3. Both Poisson processes are independent of...