Assume you are driving a car at a constant speed of 80.0 km/h. Suddenly you see a deer standing on the highway and you must put on the brakes. Your reaction time (time elapsed between the moment you see the deer and your foot hitting the brakes) is 0.127 sec. The brakes provide an acceleration of -5.5 m/s2. Find the distance (in m) the car travels (at 80.0 km/h) during your reaction time.   Calculate the total distance (in m) traveled by the car before stopping.

Q: An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2.  (Assume…

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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 car moves north 35 sec, velocity 85 km/hr, then stops for 15 sec, then continues to move north,…

A: The answer is below

Q: Quêstion 2.16: Analysis of an accident scene indicates a car was traveling at a velocity of 74.5 mph…

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Q: Two motor vehicles, BMW and Ducati, are driving at SLEX southbound lane. At 9:00:00 am they are 100…

A: Part a) Let the time taken for the Ducati to overtake the BMW is 't' sec. The initial speed of both…

Q: Chapter 2- questn-17 The coordinate of an object is given as a function of time by x(t) = 4t? – 3t3,…

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Q: If a car moves at the rate of 30mi/h for 6 min, then 60mi/h for 10 min, and finally 5 min/h for 3…

A: Average velocity = displacement/time

Q: Your friend, who is in a field 100 meters away from you, kicks a ball towards you with an initial…

A: Given Initial Velocity u = 20 m/s Displacement S = 100 m Deceleration a = -1.0 m/s2

Q: reasonable limits of accuracy, find the instantaneous velocity v when t = 4 s. 10 t, s Answers: For…

A: Given data: The total time interval is: ∆t = 8 sec The average velocity is: Vav The instantaneous…

Q: A car moving with uniform acceleration covers T 450 meter in first 5 second interval and covers 700…

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Q: car moves on a straight road such that its position from a reference point is given by the following…

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Q: The height of an object thrown upward with an initial velocity of 32 feet per second is given by the…

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Q: If a car moves at the rate of 30mi/h for 6 min, then 60mi/h for 10 min, and finally 5 min/h for 3…

A: Given:  First 6 min, velocity = 30 mi/hr Next 10 min, velocity = 60 mi/hr Final 3 min, velocity = 5…

Q: An unidentified flying object (UFO) is observed to travel a total distance of 29000 m, starting and…

A: Total distance travelled (D) = 29000 m Total time of trip (T) = 1.61 seconds Initial speed (u) = 0…

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: answer must be in SI and round off to the nearest hundredths Vehicles has accelerated from 2.0 m/s…

A: Given initial velocity = 2.0 m/s final velocity = 5.0 m/s time taken to change the this velocity =…

Q: A train of the Jay Yamon Line has a maximum speed of 50km/hr and its acceleration and deceleration…

A: Given data: Maximum speed is, v=50 km/h=50 km/h×1000 m3600 s=13.88 m/s. Limiting rate of…

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: A baseball is hit with a bat and, as a result, its direction is completely reversed and its speed is…

A: Given  time of contact t=0.33s Initial speed V final speed -2V mass be m

Q: Shannon decides to check the accuracy of her speedometer. She adjusts her speed to read exactly 70…

A: It is given that the speed on the speedometer of Shannon is 70mph. It is also given that Shannon…

Q: A deer is running east to west on a straight line. It runs (a) at a constant speed of 2.5 m/s for…

A: Given: Initial constant speed (v1) = 2.5 m/s. Initial time (t1) = 24 s. Second constant speed (v2) =…

Q: An unidentified flying object (UFO) is observed to travel a total distance of 29000 m, starting and…

A: We have, UFO travel to a total distance of 29000 m time duration, T = 4.77 s 1 g = 9.8 m/s2

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: Using the equation ??2 =???2 +2??(?−??) where a car is moving at an initial speed of 22 m/s slams on…

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Q: Question 2 A Dodge Colt traveling at 95 km/h can stop in 49.04 m. Given that the actual stopping…

A: initial speed of dodge colt (v) = 95 kmhrdeacceleration = 7.1 ms2actual stopping distance = 55 m

Q: Rob drove to the nearest hospital with an average speed of v m/s in t seconds. If he drives home on…

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Q: A person takes a trip, driving with a constant speed of 91.0 km/h except for a 22.0 min rest stop.…

A: The average speed of the person can be expressed as, vavg=dtd=vavgt=73.4 km/ht

Q: If you are driving 100 km/h along a straight road and you look to the side for 2.0 s, how far do you…

A: Speed is defined as the distance covered in unit time.  i.e.           speed =  DistanceTime

Q: A runner with a good awareness of her pace runs along a path of unknown length at a speed of 0.275…

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

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Q: units of (D) is:

A: Unit of D is  m/s5 =ms-5

Q: A three-toed sloth is the slowest moving land mammal.  On the ground, the sloth moves at an average…

A: Given ,   average speed of sloth = 0.037 m/s   speed of tortoise = 0.076 m/s

Q: The distance “s” meters from a fixed point of a vehicle traveling in a straight line with constant…

A: Using equation  s=ut+12at2 Put s=42 and t=2  we get  2u+2a-42=0 u+a=26....(1) Now put s= 144m,and t=…

Q: You drive your car 5.0 km due east at 35 km/hr and suddenly realize that you forgot your wallet. So,…

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Q: 19. GO The initial velocity and acceleration of four moving objects at a given instant in time are…

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Q: An object's position is described by the following polynomial for 10 s=t^3 - 12t^2 + 24t where s is…

A: Please note : As per answering guidelines I can answer the first 3 sub-parts of a multisub-part…

Q: The speed of a vehicle falls uniformly from 18 m/s to zero at a deceleration of 2.55 m/s?.…

A: Given, initial speed of car=u=18 m/s Final speed after deceleration=v=0 m/s deceleration=a=-2.55…

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

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Q: A train normally travels with a uniform speed of 72 km / h on a long stretch of flat, straight…

A: The train stopped at the station for 2min and its deceleration is 1m/s2  so the final velocity of…

Q: Speedometer readings for a vehicle (in motion) at 13-second intervals are given in the table. t…

A: Solutiona>  We are estimating distance traveled in 65thsec       The length of Sub-intervals are…

Q: An unidentified flying object (UFO) is observed to travel a total distance of 49000 m, starting and…

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Q: A helicopter is ascending vertically with a speed of 5.30 m/s. At a height of 107 m above the Earth,…

A: Speed of helicopter ascending vertically = 5.30 msHeight of helicopter above the ground = 107 m…

Q: A car is moving with a velocity v(t)= 100-t2   in units of ft/sec where t is in seconds when the…

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Q: A train moves at a velocity of v (t) = 3t2 - 3200t km/sec where t in seconds is the time passed…

A: The velocity of the train is given by : v(t) = 3t2 - 3200t kmsecwhere t is the time in seconds since…

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: A driver applies the brakes on his car reducing its speed from 31.0 m/s to 11.0 m/s in a time 5.0…

A: We  know thata=Vf-VitHerea=Magnitude of average accelerationVf=Final velocityVi=Initial…

Q: Which of the following is the correct conversion of initial velocity in base SI units? Refer to the…

A: The initial velocity of car u=0 The final velocity of car v= 60 mile/hr Again, 1 mile = 1.61 km =…

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 –