A car starts from rest and reaches a speed of 8.4 m/s in 5.9 seconds. What is its acceleration?
speed / time
well
(change in speed) / time
:)
well
(change in speed) / (change in time)
:)
well...
the "car starts from rest" ... zero speed and time
...hair splitting not needed
there is always a time interval. It just happens that its initial value is zero.
V = Vo+a*T
8.4 = 0+a*5.9.
a = 1.42 m/s^2.
To find the acceleration of the car, we can use the equation:
acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity (u) = 0 m/s (as the car starts from rest)
Final velocity (v) = 8.4 m/s
Time (t) = 5.9 seconds
Substituting the given values into the equation, we get:
acceleration = (8.4 m/s - 0 m/s) / 5.9 s
Simplifying, we have:
acceleration = 8.4 m/s / 5.9 s
Now, divide 8.4 by 5.9:
acceleration = 1.4237 m/s² (rounded to four decimal places)
Therefore, the acceleration of the car is approximately 1.4237 m/s².