On a two-lane road, car A is traveling with a speed of 36 km/h. Two cars, B and C approach car A in opposite directions with a speed of 54 km/h each. At a certain instant when the distance AB is equal to AC, both being 1 km, B decides to overtake A before C does. What minimum acceleration of car B is required to avoid an accident?

Cities A and B are connected by a straight road of total length 200 miles.Two cars depart cities A and B at the same time, moving towards each other. The A-car travels at 60 miles per hour, and the B-car at 40 mph. At the same time, a fly starts off from the front bumper of the A-car flying at 100 mph. It flies towards city B until it touches the bumper of the B-car, and then flies back, touches the A-car, flies back, etc, until the cars collide and the fly is squashed. The standard trick question is - what is the total distance traveled by the fly? At first sight one would think that the problem should be solved by the series summation, but that’s not necessary - the cars meet after 2 hours, and during that time the fly traveling at 100 mph covers exactly 200 miles. Now that you know the answer, solve this problem using the series summation [1].

The Starship Enterprise returns from warp drive to ordinary space with a forward speed of 57 km/s. lo the crow's great surprisc, a Klingon ship is 150 km directly ahead, traveling in the same direction at a mere 21 km/s. Without evasive action, the Enterprise will overtake and collide with the Klingons in just about 4 5s The Enterprise's computers react instantly to brake the ship. What magnitude acceleration does the Enterprise need to just barely avoid a collision with the Klingon ship? Assume the acceleration is constant Hint: Draw a position versus time graph showing the motions of both the Enterprise and the Klingon ship. Let æn - 0km be the location of the Interprise as it returns from warp drive I low do you show graphically the situation in which the collision is "barely avoided"? Once you decide what it looks like graphically, express that situation mathematically. Express your answer to two significant figures and include the appropriate units. a = μA Value m s² Review |…

Sophia is cruising at 28.0 m/s down Lake Avenue and through the forest preserve. She notices a deer jump into the road at a location 62.0 m in front of her. Ima first reacts to the event, then slams on her brakes and decelerates at -8.10 m/s2, and ultimately stops a picometer in front of the frozen deer. What is Ima's reaction time? (i.e., how long did it take Sophia to react to the event prior to decelerating?