In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at X, = 0 and the green car is at x. = 212 m. If the red car has a constant velocity of 20.0 km/h, the cars pass each other at x = 44.1 m. On the other hand, if the red car has a constant velocity of 40.0 km/h, they pass each other at x = 76.4 m. What are (a) the initial velocity and (b) the (constant) acceleration of the green car? Include the signs. Green car X Red car (a) Number i 172.4 Unit km/h (b) Number 24.2 Unit m/s^2The position of a particle moving along the x axis depends on the time according to the equation x = ct5 - bt9, wherex is in meters and t in seconds. Let c and b have numerical values 2.7 m/s5 and 1.0 m/s9, respectively. From t = 0.0 s to t = 1.7 s, (a) what is the displacement of the particle? Find its velocity at times (b) 1.0 s, (c) 2.0 s, (d) 3.0 s, and (e) 4.0 5. Find its acceleration at {f} 1.0 s, (g) 2.0 s, {h} 3.0 s, and {i} 4.0 s. When a high-speed passenger train traveling at vP = 160 km/h rounds a bend, the engineer is shocked to see that a locomotive has improperly entered onto the track from a siding and is a distance D = 652 m ahead (see the gure). The locomotive is moving at vL = 30 km/h. The engineer of the passenger train immediately applies the brakes. Assume that an x axis extends in the direction of motion. What must be the constant acceleration along that axis if a collision is to be just avoided? \\ Iummm\" Number n Units v