A car moving westward along a straight, level
road increases its velocity uniformly from +17
m/s to +40 m/s in 10.7 s.
What was the car’s acceleration?
Answer in units of m/s2
Vo = 17 m/s
V = 40 m/s
t = 10.7 s.
a = (V-Vo)/t. Solve for a.
To calculate the car's acceleration, we can use the formula:
acceleration = (change in velocity) / (time)
Given that the car's initial velocity (u) is +17 m/s and the final velocity (v) is +40 m/s, the change in velocity is:
change in velocity = v - u
Plugging in the values:
change in velocity = 40 m/s - 17 m/s = 23 m/s
The time taken (t) is 10.7 s.
Now, we can calculate the car's acceleration:
acceleration = (change in velocity) / (time)
acceleration = 23 m/s / 10.7 s
Evaluating the expression:
acceleration ≈ 2.1495 m/s²
Therefore, the car's acceleration is approximately 2.1495 m/s².