The tram

The tram is moving with acceleration a = 0.3m/s2. How long it will pass the first meter of track? How long does it take 10 meters. What is its speed at the end of the 10 meters track?

Result

t1 =  2.582 s
t2 =  8.165 s
v2 =  2.45 m/s

Solution:

a=0.3 s1=1 t1=2 s1/a=2 1/0.32.5822.582 sa=0.3 \ \\ s_{1}=1 \ \\ t_{1}=\sqrt{ 2 \cdot \ s_{1}/a }=\sqrt{ 2 \cdot \ 1/0.3 } \doteq 2.582 \doteq 2.582 \ \text{s}
s2=10 t2=2 s2/a=2 10/0.38.1658.165 ss_{2}=10 \ \\ t_{2}=\sqrt{ 2 \cdot \ s_{2}/a }=\sqrt{ 2 \cdot \ 10/0.3 } \doteq 8.165 \doteq 8.165 \ \text{s}
v2=a t2=0.3 8.165=2.4495=2.45 m/sv_{2}=a \cdot \ t_{2}=0.3 \cdot \ 8.165=2.4495=2.45 \ \text{m/s}



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  1. Gravitation
    vodorovny_vrh From the top of the 80m high tower, the body is thrown horizontally with an initial speed of 15 m/s. At what time and at what distance from the foot of the tower does the body hit the horizontal surface of the Earth? (use g = 10 ms-2)
  2. Two ships
    ship Two ships sailed from Venice - a cargo speed of 10 knots and a ferry speed of 18 knots. At what time will the ferry catch up with the cargo ship if it sailed 10 hours later?
  3. Cyclists and walkers
    time_1 A group of tourists started at 8:00 at speed 4 km/h walk. At half-past ten, another group started on a bike and caught up with a group of tourists at 10:50. What was the average speed of cyclists?
  4. G forces
    car_crash Calculate deceleration of car (as multiple of gravitational acceleration g = 9.81 m/s2) which occurs when a car in a frontal collision slows down uniformly from a speed 111 km/h to 0 km/h in 1.2 meters trajectory.
  5. Free fall
    volny_pad_2_ap The free fall body has gone 10m in the last 0.5s. Find the body speed at the moment of impact.
  6. Speed of sound
    sotka_t100 The average speed of sound is 330 meters per second. Estimate how long it will hear the church bell 1 km away. Calculate the distance from what would hear sound after 10 seconds.
  7. Cars
    car_red Cars started at 7:00 AM. From point A car run at 40 km per hour, from B car run 70 km per hour. Between A and B is 250 km long road. When and where will meet (measured from point A)?
  8. Round-trip
    car_35 A woman works at a law firm in city A which is about 50 miles from city B. She must go to the law library in city B to get a document. Find how long it takes her to drive​ round-trip if she averages 40 mph.
  9. Cenda and Pepa
    suchacky Cenda and Pepa went to the event. Cenda started alone. Canda started after him for 20 minutes. How long took Cenda to catch him? Cenda traveling at 15 km/h, and Pepa traveling at 25 km/h.
  10. Two boats
    ship_2 The sightseeing boat sail at 25 km / h. The cruise take 6 hours. How long the another boat sails at 60 km/h?
  11. Cars 6
    car_15 At 9:00 am two cars started from the same town and traveled at a rate of 35 miles per hour and the other car traveled at a rate of 40 miles per hour. After how many hours will the cars be 30 miles apart?
  12. Two trains
    vlak_8 From station A, the freight train traveled at a speed of 40 km/h in 9h. When he drove 15km, the fast train started from station A in the same direction at a speed of 70km/h. When will it the freight train catch up?
  13. Cars 2
    car_2 Opava is 360 km distance from Prešov. At 8:00 hour two cars started against each other from this cities at average speeds 88 km/h and 121 km/h. At what hour its will meet and what distance its travel if car started from Prešov is faster?
  14. Mail train
    train_freight_3 The speed of mail train is 1370 meter per minute. Express it in miles per hour correct to three significant figure . Given that 1 meter =39.37 inches.
  15. Average speed
    cyklo The average speed of a pedestrian who walked 10 km was 5km/h, the average speed of a cyclist on the same track was 20km/h. In how many minutes did the route take more than a cyclist? Q
  16. Bob traveled
    house_3 Bob traveled 20 meters to Dave's house. He arrived in 3 minutes. What was his average speed for the trip.
  17. Average speed
    Auticka_2 Michal went out of the house by car at speed 98 km/h. He came into the goal place for 270 minutes. Determine the distance between the two places.