Question

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?

Answer 1

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

Step-by-step 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 =
`(distance)/(speed)`

time =
`(545)/(28)`

time =19.46 s

velocity of the car when it crosses the truck

`S = ut + (1)/(2)at^2`

`545= u* 19.46 + (1)/(2) * 1.2 * 19.46^2`

u = 16.33 m/s

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