a kitten pushes a ball of yarn rolling toward it at 1.00 cm/s with its nose, displacing the ball of yarn 17.5 cm in the opposite direction in 2.00 s. What is the acceleration of the ball of yarn ?

a) 8.75 cm/s2
b) 10.75 cm/s2
c) 9.75 cm/s2
d) need more information

To determine the acceleration of the ball of yarn, we can use the formula:

acceleration = (change in velocity) / (time)

First, let's find the change in velocity. The kitten pushes the ball of yarn, so the change in velocity is equal to the velocity of the ball of yarn before the kitten pushes it (which is 0 cm/s) minus the velocity of the ball of yarn after the kitten pushes it. Since the kitten pushes the ball of yarn in the opposite direction, the velocity of the ball of yarn after the push is -1.00 cm/s.

change in velocity = final velocity - initial velocity
= (-1.00 cm/s) - (0 cm/s)
= -1.00 cm/s

Next, we'll plug in the values into the formula for acceleration:

acceleration = (-1.00 cm/s) / (2.00 s)
= -0.50 cm/s²

Since acceleration is a vector quantity, we don't need the negative sign here as it only indicates the direction. So, we have:

acceleration = 0.50 cm/s²

Thus, the acceleration of the ball of yarn is 0.50 cm/s².

Now, let's compare the calculated value to the given options:
a) 8.75 cm/s²
b) 10.75 cm/s²
c) 9.75 cm/s²
d) need more information

None of the given options match the calculated acceleration. Therefore, the correct answer is (d) need more information, as we need additional information to determine the acceleration accurately.

can someone answer this