Question

1. ariel dropped a golf ball from her second story window. the ball starts from rest and hits the sidewalk with a velocity of 14.7 m/s. find the average acceleration of the golf ball. table with columns: want? (a), have? (t=1.5 sec, ( v_f = 14.7 , \text{m/s} ), ( v_i = 0 )), equation (( a = \frac{v_f - v_i}{t} )), rearrange (( a = dots )), enter (( \frac{14.7 - 0}{1.5} = 9.8 , \text{m/s}^2 ))

Explanation:

Step1: Identify known values

We know the initial velocity \( v_i = 0 \, \text{m/s} \) (starts from rest), final velocity \( v_f = 14.7 \, \text{m/s} \), and time \( t = 1.5 \, \text{s} \). The formula for average acceleration \( a \) is \( a=\frac{v_f - v_i}{t} \).

Step2: Substitute values into formula

Substitute \( v_f = 14.7 \, \text{m/s} \), \( v_i = 0 \, \text{m/s} \), and \( t = 1.5 \, \text{s} \) into the formula:
\( a=\frac{14.7 - 0}{1.5} \)

Step3: Calculate the result

First, calculate the numerator: \( 14.7 - 0 = 14.7 \). Then divide by the denominator: \( \frac{14.7}{1.5}=9.8 \, \text{m/s}^2 \).

Answer:

The average acceleration of the golf ball is \( 9.8 \, \text{m/s}^2 \)