a toy race car zooms across the ground with an acceleration of 1.8 m/s^2 after 3 seconds has a final velocity of 12.2 m/s^2, what is the toy cars initial velocity
To solve this problem, we can use the formula:
Final velocity (v) = Initial velocity (u) + (acceleration (a) x time (t))
Given that the acceleration is 1.8 m/s^2, the time is 3 seconds, and the final velocity is 12.2 m/s, we can plug in these values into the formula and solve for the initial velocity (u):
12.2 m/s = u + (1.8 m/s^2 x 3 s)
12.2 m/s = u + 5.4 m/s^2
Subtracting 5.4 m/s^2 from both sides of the equation gives:
12.2 m/s - 5.4 m/s^2 = u
Therefore, the initial velocity of the toy car is:
u = 6.8 m/s
To find the toy car's initial velocity, we can use the following formula:
final velocity = initial velocity + (acceleration * time)
Given:
Acceleration (a) = 1.8 m/s^2
Time (t) = 3 s
Final velocity (vf) = 12.2 m/s
Let's plug in the values and solve for the initial velocity (vi):
12.2 m/s = vi + (1.8 m/s^2 * 3 s)
First, calculate the product of acceleration and time:
1.8 m/s^2 * 3 s = 5.4 m/s
Now, rearrange the formula and solve for vi:
12.2 m/s - 5.4 m/s = vi
vi = 6.8 m/s
Therefore, the toy car's initial velocity is 6.8 m/s.
To find the initial velocity of the toy race car, you can use the following equation:
Final velocity (v) = Initial velocity (u) + Acceleration (a) * Time taken (t)
In this case, the final velocity is given as 12.2 m/s, the acceleration is given as 1.8 m/s^2, and the time taken is 3 seconds. Let's substitute these values into the equation:
12.2 m/s = u + 1.8 m/s^2 * 3 s
Now, rearrange the equation to solve for the initial velocity (u):
u = 12.2 m/s - 1.8 m/s^2 * 3 s
u = 12.2 m/s - 5.4 m/s
u = 6.8 m/s
Thus, the toy race car's initial velocity is 6.8 m/s.