A toy race car zooms across the ground with an acceleration of 1.8 m/s^2. After 3 seconds it has a final velocity of 12.2 m/s, what is the toy car's initial velocity? a= (Vf-Vi)/t
To find the initial velocity (Vi), we can rearrange the equation a = (Vf - Vi)/t to solve for Vi.
a = acceleration = 1.8 m/s^2
Vf = final velocity = 12.2 m/s
t = time = 3 s
Rearranging the equation:
a = (Vf - Vi)/t
a * t = Vf - Vi
Vi = Vf - a * t
Now we can substitute the values:
Vi = 12.2 m/s - 1.8 m/s^2 * 3 s
Calculating the equation:
Vi = 12.2 m/s - 5.4 m/s
Vi = 6.8 m/s
Therefore, the toy car's initial velocity is 6.8 m/s.
The formula to calculate acceleration is:
a = (Vf - Vi) / t
Where:
a = acceleration
Vf = final velocity
Vi = initial velocity
t = time
In this case, we know the following values:
a = 1.8 m/s^2
Vf = 12.2 m/s
t = 3 seconds
Let's rearrange the formula to solve for Vi:
a = (Vf - Vi) / t
Multiply both sides by t:
a * t = Vf - Vi
Now, isolate Vi by subtracting Vf from both sides:
a * t - Vf = -Vi
Finally, multiply both sides by -1 to solve for Vi:
Vi = -1 * (a * t - Vf)
Vi = -1 * (1.8 m/s^2 * 3 s - 12.2 m/s)
Vi = -1 * (5.4 m/s - 12.2 m/s)
Vi = -1 * (-6.8 m/s)
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, we can use the equation:
a = (Vf - Vi) / t
where:
a = acceleration
Vf = final velocity
Vi = initial velocity
t = time
We are given that the acceleration of the car is 1.8 m/s^2, the final velocity is 12.2 m/s, and the time is 3 seconds. Plugging these values into the equation, we can solve for the initial velocity:
1.8 m/s^2 = (12.2 m/s - Vi) / 3 s
To isolate the initial velocity, we can multiply both sides of the equation by 3 s:
(1.8 m/s^2) * 3 s = 12.2 m/s - Vi
Simplifying, we have:
5.4 m/s = 12.2 m/s - Vi
Next, we can rearrange the equation to solve for Vi:
Vi = 12.2 m/s - 5.4 m/s
Calculating the result:
Vi = 6.8 m/s
Therefore, the initial velocity of the toy race car is 6.8 m/s.
A car accelerates from 5 m/s to 15 m/s in 2 s. What is its acceleration? a= (Vf-Vi)/t
To find the acceleration (a), we can use the formula a = (Vf - Vi)/t.
Vf = final velocity = 15 m/s
Vi = initial velocity = 5 m/s
t = time = 2 s
Substituting the given values into the equation:
a = (15 m/s - 5 m/s) / 2 s
Calculating the equation:
a = 10 m/s / 2 s
a = 5 m/s^2
Therefore, the car's acceleration is 5 m/s^2.