A 354-m long train is moving on a straight track with a speed of 87.9 km/hr. Upon reaching a roadway crossing, the engineer engages the brakes. Sometime later the caboose passes the crossing with a speed of 16.5 km/hr. Determine the length of time (in seconds) that the train blocks the crossing. Assume a constant acceleration and disregard the length of the crossing.

A blue car is at rest at a stoplight. The moment the stoplight turns green, a red car passes it moving with a constant speed of 19.9 m/s. The blue car accelerates uniformly at a rate of 6.41 m/s/s. How much time elapses before the blue car catches up with the red car?

A green car is trailing a yellow car in an adjacent lane while moving down a highway at a constant speed of 89.2 mi/hr. The separation distance between the two cars is 36.8 ft. The yellow car slams on the brakes and decelerates at a rate of -8.83 m/s/s. After a reaction of time of 0.329 seconds, the green car begins decelerating at a rate of -8.52 m/s/s. What is the final separation distance (in m) between the cars once stopped? (Given: 1 m/s = 2.24 mi/hr; 3.28 ft = 1 m)

Enter the answer as a positive value (no - values).

A train normally travels with a uniform speed of 89.2 km/hr along a stretch of straight, level track from point A to point B, past a depot that lies in between. One particular day, the train makes a 3.56-minute stop at the depot. If the train decelerates at a rate of -1.28 m/s/s from point A to stop at the depot and then accelerates at a rate of 0.69 m/s/s back to point B, then how much total time (in minutes) is lost by the train in making the stop. Consider the decelerating time, the rest time, and the accelerating time compared to the straight-through A to B time.

Try Entopass is attempting to pass a physical education class at school. To pass, Try must complete the 1-mile run in 12.0 minutes. Try runs the first 10.0 minutes at a constant pace but still has 544 yds to go. Assuming that Try accelerates uniformly over the remainder of the run, what acceleration (in m/s/s) would he need to pass the test? (GIVEN: 1 mi = 1609 m; 3.28 ft = 1.00 m).

(Enter at least 3 significant figures; leading 0s are not significant.)

A 56-kg hockey player is standing on a frozen pond. A player on the opposing team passes by with the puck, moving at 6.5 m/s. After 1.83 s delay, the first player makes up her mind to chase her opponent. If she accelerates uniformly at 2.67 m/s/s, how much time does it take her (once she gets started) to catch up to her opponent? (Assume that the player with the puck continues in motion at a constant speed.)

A 56-kg hockey player is standing on a frozen pond. A player on the opposing team passes by with the puck, moving at 8.85 m/s. After 2.75 s delay, the first player makes up her mind to chase her opponent. She accelerates uniformly at 3.35 m/s/s in an effort to catch up. What distance will the first player (the one that is accelerating) move before catching up with the opposing player? (Assume that the player with the puck continues in motion at a constant speed.)