A commuter is driving a car along a straight road at a constant speed of 23.5 m/s. Just as she passes a law officer parked along the side of the road, the officer starts to accelerate 2.50 m/s2 to overtake her. Assume that the officer maintains this acceleration. (a)Determine the time it takes the officer to reach the commuter (in s). s (b) Find the speed of the officer as he overtakes the commuter (in m/s). m/s (c) Find the total displacement of the officer as he overtakes the commuter (in m).

Q: In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a 220-m-long…

A: Given data:

Q: A spacecraft starts from rest, and makes a journey to a destination 447000 km from its starting…

A:

Q: Angelito is driving at 6 m/s when a traffic  enforcer signals that he should speed up. He then steps…

A: Given  Initial speed u=6m/s  Final speed v=15m/s Reaction time t1=0.15s Acceleration time t=4.5s

Q: A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other,…

A: Given:  time to go, t = 2.5 s  time to come back, t' = 0 s

Q: Eg In a boat race, boat A is leading boat B by 50 m and both boats are traveling at a constant speed…

A:

Q: Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h…

A: Given: speed of first car V1 = 55 mi/h speed of second car V2 = 60 mi/h

Q: A baseball is pitched, reaching the batter with a speed of 37 m/s, and is hit such that it returns…

A: Given data: Initial speed = 37 m/s Final speed = 48 m/s, opposite to initial speed Time interval (t)…

Q: Let SA = 15t2 + 10t + 20 and SB = 5t2 + 40t, t greater than or equal to 0, be the position of cars A…

A: We have two cars A and B and their positions are given by SA=15t2+10t+20 and SB=5t2+40t. We need…

Q: In an outing with your friends, you checked in to a hotel. Upon entering, you saw a spider running…

A: Explanation :- The spider is moving with a constant velocity so acceleration of the spider is zero.…

Q: If a car running at a speed of 72 km/h stopped five seconds after braking at the red light of the…

A:

Q: A westbound car on the PA turnpike passes the exit for the northeast extension traveling at 16.2…

A: Let positive direction is in the east direction.

Q: At the moment of departure of a train, the signalman is standing next to the first wagon, which…

A: Answer            63.6 Sec

Q: A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a…

A: The displacement equation of the given car is given as, x(t) = at2 - bt3, where a = 1.50 m/s2 and b…

Q: In problem 11, if the dragstrip is ¼ mile, or 402.3 meters long, at the acceleration of 25.2 m/s2,…

A: Given  Length of dragstrip L=¼ Miles L=0.25 miles  Or L=402.3 meters Acceleration a=25.2 m/s²…

Q: A train on a very long straight level stretch of tracks, starting from a dead stop, steadily speeds…

A: Case 1) initial speed = 0 msfinal speed (v) = 28 mstime taken (t) = 14 minutes = 14×60 seconds = 840…

Q: The displacement-time graph of a moving object is a straight line. Then a. its acceleration may be…

A:

Q: Traveling with an initial speed of 70 km/h, a car accelerates at 6000 km/h? along a straight road.…

A:

Q: At an air show, a jet plane has velocity components vx= 695km/h and v  y =415km/h at time 4.35 s and…

A:

Q: Suppose a car merges into freeway traffic on a 200-m-long ramp. If its initial velocity is 10.0 m/s…

A:

Q: An automobile reduces its speed from 70.00 kph to 50.00 kph after covering a distance of 480.00 m.…

A: Second equation of motion, V2 - U2 = 2 a S Where, V = final velocity               U = initial…

Q: At the instant the traffic light turns green, a car starts with a constant acceleration of 1.76…

A: Given that, a =1.76 m/s2 u =0  (when the car start its initial velocity is zero) v =9.01 m/s

Q: Napoleon fires a warning shot out of his handgun. If the bullet leaves the gun with an initial speed…

A: Initial vertical speed, u = 472 m/s Acceleration due to gravity, g = 9.81 m/s2   The time of the…

Q: In a boat race, boat A is leading boat B by 50 m and both boats are traveling at a constant speed of…

A: Given : Distance between boat A and boat B = 50 m Initial speed of boat A and boat B =va=vb 180 km/h…

Q: At a football tryout, a player runs a 40-yard dash in t2 = 5.00 seconds. If the reaches his maximum…

A:

Q: Car A is parked along the northbound lane of a highway, and car B is traveling in the southbound…

A: Given that initially, car A is parked and car B is traveling at a constant speed of 60 mi.h-1.…

Q: An engineering physics student conducted an experiment on free fall motion by launching a toy rocket…

A:

Q: The height of an object thrown upward from the roof of a building 408 ft. tall, with a initial…

A:

Q: Answer the ff: 1. A juggler throws a bowling pin straight up with an initialspeed of 8.20 m/s.…

A: 1) At maximum height, the bowling pin comes to rest for an instant. So, the velocity of the bowling…

Q: At the instant the traffic light turns green, a car starts with a constant acceleration of 2.31…

A:

Q: A typical jetliner lands at a speed of 160 mi/h and decelerates at the rate of (10.0 mi/h)/s. If the…

A:

Q: A driver, driving at a constant speed of 30m/s in a 50 mph zone, is unaware that he is being…

A:

Q: The acceleration of a particle along a straight line is defined by a=(2t- 9) m/s^2 , where t is in…

A: (a) The velocity and position moment are given by,…

Q: In a sprint tryout, an athlete runs a 100-meter dash in 10 seconds. If the athlete reaches the…

A: Given data: The total distance ran by the athlete, S=100 m. The time taken by the athlete to run…

Q: A car is traveling at 96 km/h when the driver sees an accident 75 m ahead and slams on the brakes.…

A:

Q: A motorist is travelling at 72km/hr when he observes that a traffic light ahead turns red. The…

A: GivenInitial velocity of motorist, u=72 km/hTime duration, t=22 sDistance between motorist and…

Q: A driver is traveling at 48 kph and accelerates uniformly until it doubles it speed over a distance…

A:

Q: Suppose a cyclist is going 20m/s (44mph) at the end of a race, and begins coasting after crossing…

A:

Q: An experimental rocket car starting from rest reaches a speed of 560 km/h  after a straight 400-m…

A:

Q: A jetliner, travelling northward, is landing with a speed of 69 m/ s. Once the jet touches down, it…

A: Given- Initial velocity (u) = 69 m/s Final Velocity (v) = 6.1 m/s Distance (s) = 750 m

Q: A police car is traveling at a velocity of 17.0 m/s due north, when a car zooms by at a constant…

A: Initial velocity of police car (u) = 17 m/s due north Constant velocity of zooming car (u') = 42…

Q: A marching band player walks directly north at a speed of 2.50 m/s for a time of 12.0 seconds, turns…

A: Solution: Given that: band player walks directly north at a speed of 2.50 m/s for a time of 12.0…

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –