- A police officer in a patrol car parked in a 45 mi/h speed zone observes a passing automobile traveling at a slow, constant speed. Believing that the driver of the automobile might be intoxicated, the officer starts his car, accelerates uniformly to 60 mi/h in 8 s, and, maintaining a constant velocity of 60 mi/h, overtakes the motorist 42 s after the automobile passed him. Knowing that 18 s elapsed before the officer began pursuing the motorist, determine (a) the distance the officer traveled before overtaking the motorist, (b) the motoristβs speed
![RECTILINEAR MOTION OF PARTICLES 1 police officer in a patrol car parked in a 45 mph speed zone observes a passing automobile traveling at a slow, constant speed](https://theskyscorner.com/wp-content/uploads/2022/05/police-officer-in-a-patrol-car-parked-in-a-45-mph-speed-zone-observes-a-passing-automobile-traveling-at-a-slow-constant-speed.png)
![RECTILINEAR MOTION OF PARTICLES 2 police officer in a patrol car parked in a 45 mph speed zone observes a passing automobile traveling at a slow, constant speed](https://theskyscorner.com/wp-content/uploads/2022/05/police-officer-in-a-patrol-car-parked-in-a-45-mph-speed-zone-observes-a-passing-automobile-traveling-at-a-slow-constant-speed-vm.png)
- Automobiles A and B are traveling in adjacent highway lanes and at t = 0 have the positions and speeds shown. Knowing that automobile A has a constant acceleration of 1.8 ft/s2 and that B has a constant deceleration of 1.2 ft/s2, determine (a) when and where A will overtake B, (b) the speed of each automobile at that time.
![RECTILINEAR MOTION OF PARTICLES 3 utomobiles A and B are traveling in adjacent highway lanes and at t = 0 have the positions and speeds shown. Knowing that automobile A](https://theskyscorner.com/wp-content/uploads/2022/05/utomobiles-A-and-B-are-traveling-in-adjacent-highway-lanes-and-at-t-0-have-the-positions-and-speeds-shown.-Knowing-that-automobile-A.png)
![RECTILINEAR MOTION OF PARTICLES 4 utomobiles A and B are traveling in adjacent highway lanes and at t = 0 have the positions and speeds shown. Knowing that automobile](https://theskyscorner.com/wp-content/uploads/2022/05/utomobiles-A-and-B-are-traveling-in-adjacent-highway-lanes-and-at-t-0-have-the-positions-and-speeds-shown.-Knowing-that-automobile-.png)
3. 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 π£π΄= 65 mi/h and π£π΅= 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.
![RECTILINEAR MOTION OF PARTICLES 5 3. 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 π£π΄= 65 mi/h and π£π΅=Β 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.](https://theskyscorner.com/wp-content/uploads/2022/05/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-%F0%9D%91%A3%F0%9D%90%B4-65-mph.png)
![RECTILINEAR MOTION OF PARTICLES 6 Two automobiles A and B are approaching each other in adjacent highway lanes. At t =0, A and B are 3200 speeds are π£π΄= 65 mph](https://theskyscorner.com/wp-content/uploads/2022/05/Two-automobiles-A-and-B-are-approaching-each-other-in-adjacent-highway-lanes.-At-t-0-A-and-B-are-3200-speeds-are-%F0%9D%91%A3%F0%9D%90%B4-65-mph-.png)
4. An elevator is moving upward at a constant speed of 4 m/s. A man standing 10 m above the top of the elevator throws a ball upward with a speed of 3 m/s. Determine (a) when the ball will hit the elevator, (b) where the ball will hit the elevator with respect to the location of the man.
![RECTILINEAR MOTION OF PARTICLES 7 An elevator is moving upward at a constant speed of 4 m per s. A man standing 10 m above the top of the elevator throws a ball upward with a speed of 3 m per s](https://theskyscorner.com/wp-content/uploads/2022/05/An-elevator-is-moving-upward-at-a-constant-speed-of-4-m-per-s.-A-man-standing-10-m-above-the-top-of-the-elevator-throws-a-ball-upward-with-a-speed-of-3-m-per-s.png)