A truck traveling at a constant speed of 28 m/s passes a more slowly moving car. The instant the truck passes the car, the car begins to accelerate at a constant rate of 1.2 m/s^2 and passes the truck 545 m farther down the road. What was the speed of the car (in meters/second) when it was first passed by the truck?

Respuesta :

Answer:

the velocity of car when it passes the truck is u = 16.33 m/s

Explanation:

given,

constant speed of truck  = 28 m/s

acceleration of car = 1.2 m/s²

passes the truck in 545 m

speed of the car when it just pass the truck = ?

time taken by the truck to travel 545 m

              time =[tex]\dfrac{distance}{speed}[/tex]

              time =[tex]\dfrac{545}{28}[/tex]

              time =19.46 s

velocity of the car when it crosses the truck

[tex]S = ut + \dfrac{1}{2}at^2[/tex]

[tex]545= u\times 19.46 + \dfrac{1}{2} \times 1.2 \times 19.46^2[/tex]

u = 16.33 m/s

the velocity of car when it passes the truck is u = 16.33 m/s