a car on a straight level road is stopped for a red light.on a green light it uniformly accelerates to a velocity of 18m/s in 3 minutes.what is its acceleration?
Acceleration has a unit of
m/s².
from 0 to 18m/s in 3 minutes</>
is the same as
0 to 18 m/s in 180 seconds, which translates to
18m/s / 180 seconds
or
0.1 m/s²
A bicycle does better than that, haha!
To find the acceleration of the car, we need to use the equation of motion relating velocity, acceleration, and time.
The given information is:
Initial velocity (u) = 0 m/s (as the car is stopped)
Final velocity (v) = 18 m/s
Time (t) = 3 minutes = 3 × 60 seconds = 180 seconds
The equation of motion is:
v = u + at
Substituting the values into the equation, we get:
18 = 0 + a * 180
Simplifying the equation further, we have:
18 = 180a
To find the value of 'a', we divide both sides of the equation by 180:
a = 18 / 180
Calculating this, we get:
a = 0.1 m/s²
Therefore, the acceleration of the car is 0.1 m/s².
Explanation of the steps:
1. We use the equation of motion, v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
2. We substitute the given values into the equation.
3. By simplifying and solving the equation, we find the value of acceleration.
4. We convert the time from minutes to seconds to match the units of the acceleration.