Aremote-controlled car is moving in a vacant parking lot. the velocity of the car as a function of time is given by υ⃗ =[5.00m/s−(0.0180m/s3)t2]i^ + [2.00m/s+(0.550m/s2)t]j^.
a. what is the magnitude of the acceleration of the car at t = 6.23 s ?
i already know that i need to use the derivative of the velocity equation given but i don't know what to do from there.

Explanation:

The acceleration is the derivative of the velocity. Therefore, we need to differentiate each component of the velocity to find the components of the acceleration first.

The velocity along the x-axis is:

Differentiating,

Similarly, the velocity along the y-axis is:

Differentiating,

So now we have the components of the acceleration; substituting t = 6.23 s, we get:

And so the magnitude of the acceleration is

explanation:

v=uf/(u-f)

= 5.-10/(5+10) convex lens has negative focal length

pretty sure it's false