Question

Now, Little Susie and the Purple Playground Rhinoceros are racing to see who is faster. They hang a string across the hallway with tape 6.75 meters from the starting line. They countdown from five and go! Susie's final velocity was 11.3 m/s. What was her acceleration?

a) 2.18 m/s²
b) 1.67 m/s²
c) 1.33 m/s²
d) 0.75 m/s²

Answer 1

Susie's acceleration can be calculated using a kinematic equation involving her final velocity and the distance to the string. By assuming an initial velocity of zero, one can rearrange the equation to find acceleration.

Step-by-step explanation:

To calculate Susie's acceleration, we need to apply kinematic equations that relate to acceleration, final velocity, and distance since we are not given the time of the race. One such equation is: v2 = u2 + 2as

Where v is the final velocity, u is the initial velocity (which we'll assume to be 0 since she started from rest), a is acceleration, and s is the distance covered. Using the given data, her final velocity v is 11.3 m/s, and the distance s is 6.75 meters. Let's input these values into the equation:

11.32 = 0 + 2a(6.75)

a = (11.32) / (2 * 6.75)

Finally, Susie's acceleration a would be calculated to find the answer.