Chapter 12, Problem 217P

Starting from rest at home plate, a baseball player runs to first base (90 ft away). He uniformly accelerates over the first 11.6 ft to his maximum speed, which is then maintained until he crosses first base. If the overall run is completed in 3.3 seconds, determine his maximum speed, the acceleration over the first 11.6 feet, and the time duration of the acceleration. t = 0 Answers: Vmax= a= 11.6 t= i i i 78.4' t = 3.3 sec ft/sec ft/sec² sec

Car A is traveling at a constant speed of vA = 130 kph at a location where the speed limit is 100 kph. The police officer in car P observes this speed via radar. As Car A passes P, the car uniformly decelerates to the speed limit for 5 seconds and maintained the motion. Meanwhile, the police car begins to accelerate at the constant rate of 6 m/s2 until a velocity of 160 kph is achieved, and that speed is maintained. Determine the deceleration of car A to reach the speed limit,What is the distance traveled by the police to overtake car A, How long did it take for the police officer to overtake car A?

Q5/ The y-coordinate of a particle in curvilinear motion is given by y = 4t³ - 3t where y is in meters and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 12 t If the velocity of the particle in the x-direction is 4 m/sec when t=0, 771 sec2 calculate the magnitudes of the velocity v and acceleration a of the particle when t=1 sec, and the angles these vectors make with the x-axis at the same instant.

Elevators A and B in the adjoining shafts start moving in opposite directions with constant accelerations 0.4 m/s and 0.8 m/s respectively. A moves down while B moves up. If they were 184 m apart at t = 0, after what time will be opposite to each other? How far each one has travelled? A 184 m

A motorcycle starts from rest at t = 0 and travels along a straight road with a constant acceleration of 6 ft/sec2 until it reaches a speed of 50 ft/s and maintains this speed throughout the duration of the motion. Also, when t = 0, a car located 6000 ft away, travels towards the motorcycle at a constant velocity of 30 ft/s. Determine the time at which the two vehicles pass each other,Calculate the distance traveled by the motorcycle the moment that the two vehicles pass each other, Calculate the distance traveled by the car the moment that the two vehicles pass each other.

A helicopter starts from rest at point A and travels along the straight-line path with a constant acceleration a. If the speed v = 23 m/s when the altitude of the helicopter is h = 37 m, determine the values of r, r, 0, and as measured by the tracking device at O. At this instant, 0 = 35°, and the distance d = 177 m. Neglect the small height of the tracking device above the ground. " Th Answers: i m/s m/s² i rad/s i rad/s² a D: || =

In traveling a distance of 3.2 km between points A and D, a car is driven at 93 km/h from A to B for t seconds and 45 km/h from C to D also for t seconds. If the brakes are applied for 3.1 seconds between B and C to give the car a uniform deceleration, calculate t and the distance s between A and B.

3. A race car C travels around the horizontal circular track that has a radius of 300ft. If the car increases its speed at a constant rate of 7ft/s², starting from rest, determine the time needed for it to reach an acceleration of 8ft/s². What is its speed at this instant? an r = 300 ft

Determine the speed (in meters per second) of pulley C; if block A is supposed to travel vertically at a constant rate of 5.61 meters per second by pulling the cord at point B.  Instead of using units, identify the direction of movement of pulley C: U for uphill movement, and D for downhill movement.