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

3 answers

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.
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.