Question

PLEASE HELP MEEE!!!

A car traveling on a straight road at 10 meters per second accelerates uniformly to a speed of 21.0 meters per second in 12.0 seconds. The total distance traveled by the car in this 12.0-second time interval is?

Answer 1

185.3m

Step-by-step explanation:

Given parameters:

Initial velocity = 10m/s

Final velocity = 21m/s

Time = 12s

Unknown:

Total distance traveled by the car = ?

Solution:

To solve this problem, we use that appropriate motion equation:

v² = u² + 2as

v is the final velocity

u is the initial velocity

a is the acceleration

s is the unknown distance

t is the time taken;

acceleration =
`(v - u)/(t)`

a =
`(21 - 10)/(12)` = 0.92m/s²

now;

v² = u² + 2as

21² = 10² + 2(0.92)(s)

441 = 100 + 1.84s

441 - 100 = 1.84s

s = 185.3m