4. Given A vehicle changes velocity from 80.0 km/hr to 20.0 km/hr in 6.00 seconds. Required: Find the uniform acceleration in ft/s2. Be sure to note the sign/direction (+ or -).
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- The car travels around the portion of a circular track having a radius of r = 600 ft such that when it is at point A it has a velocity of 3 ft/s, which is increasing at the rate of 0.002t ft/s?, where t is in seconds. Determine the magnitudes of its velocity and acceleration when it has traveled two-thirds the way around the track. AA vehicle moves in a straight line such that for a short time its velocity v = (0.4t + 0.6vt ) m/s !3! where t is in second (ift-D0, s=0).Determine it acceleration(a) when t=4sec? *Two automobiles A and B are approaching each other in adjacent highway lanes. At t=0, A and B are 1km apart, their speeds are 108km/h and 63km/h and they are at the points P and Q respectively. Knowing that A passes point Q 40s after B was there and B passes P 42s after A was there, determine the uniform acceleration of A and B, when the vehicles pass each other and the speed of B at that time.
- The gap between two consecutive automobiles (distance between the back of a vehicle and the front of the following vehicle) is 65 ft. At a certain time, the front vehicle is traveling at 45 mi/h, and the following vehicle at 35 mi/h. If both vehicles start accelerating at the same time, determine the gap between the two vehicles after 15 sec if the acceleration of the vehicles can be assumed to take the following forms: du/dt = 3.4 - 0.07u, (leading vehicle) du/dt = 3.3 - 0.065u, (following vehicle) where ut is the vehicle speed in ft /sec.An impatient car driver stuck behind a slow-moving truck traveling at 25 mi/h decides to overtake the truck. The accelerating characteristic of the car is given by: dv/dt=3-0.05v where v is the speed (ft/sec) and t is the time (0sec).What is the acceleration in meter per second after 25 seconds?A car starts from rest and travels 10 sec. with an acceleration of a = 4 – 0.3t, then runs for 30 sec. at constant velocity and finally comes to rest by decelerating at 3.125 m/s2. Determine the velocity of the car after 10 sec. Determine the distance traveled by the car during the period of 10 sec. c. Determine the total distance traveled by the car until it stops.
- A Car rounds a 100-m radius curve at a constant speed of 60 kph. Which of the following statements is/are TRUE considering its motion on the curve path? Select ALL possible answers. O The car has a tangential acceleration. The car has a normal acceleration directed towards the center of the curved path. O The car has a normal acceleration directed away from the center of the curved path. The car has no tangential acceleration. The velocity of the car changes at any instant. O none of these2. A Hyundai Santa Fe travels a 1.30km levelled road from Bonifacio roundabout to City Lights Hotel in a minimum time of 45.60seconds. Given that the car accelerates and decelerates at 2.53 m/s², which starts from rest at the roundabout and coming to a stop at the Hotel, determine the maximum speed (in kph) and the time (in seconds) it travel at this speed. Assume time for acceleration and deceleration are equal.. Cars A and B starts from rest at the intersection of two roads which makes an angle 60° with each other. Car A accelerates at 0.85 m/s2 and car B has an acceleration of 0.70 m/s2. Determine the relative displacement of the two cars 30 seconds after leaving the intersection. Determine the relative velocity of the two cars 30 seconds after leaving the intersection. Determine the relative acceleration of the two cars 30 seconds after leaving the intersection.
- Two automobiles A and B are approaching each other in adjacent highway lanes. At t = 0, A and B are 3200 ft apart, their speeds are VA = 65 mi/h and vâ = 40 mi/h, and they are at points P and Q, respectively. Knowing that A passes point Q 40 s after B was there and that B passes point P 42 s after A was there, determine (a) the uniform accelerations of A and B, (b) when the vehicles pass each other, (c) the speed of B at that time. VA = 65 mi/h UB = 40 mi/h B P 3200 ftPlease answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. A motorist is about to enter the exit ramp of a highway. When it is 50m before reaching A (along the straight path), the motorist travels at 80km/h, decreasing at the rate of 0.5m/s2until it reaches B. After it reaches B, it travels at a constant speed. Determine the magnitude of the acceleration: just after A just before B just after BThe van travels over the hill described byy=(-1.5x10 ³)x²+15) ft. If it has a constant speed of 78 ft/s, determine the y component of the van's velocity when x = 43 ft. y (- 7+ -1.5(10 15) ft 15 t 1001