determining velocity\ncalculate the average t...

determining velocity\ncalculate the average travel time for each distance, and then use the results to calculate.\nnumber of washers trial time to travel 0.25 m t1(s) time to travel 0.50 m t2(s)\n1 washer mass = 4.9 g trial #1 2.24 3.16\ntrial #2 2.21 average 3.08 average\ntrial #3 2.23 3.15\nthe average time that it takes for the car to travel the first 0.25m is s.\nthe average time to travel just between 0.25 m and 0.50 m is s.\ngiven the time taken to travel the second 0.25 m section, the velocity would be m/s.

Answer

# Explanation: ## Step1: Calculate average time for 0.25 m The formula for the average of a set of numbers $x_1,x_2,x_3$ is $\bar{x}=\frac{x_1 + x_2+x_3}{3}$. Here, $x_1 = 2.24$, $x_2=2.21$, $x_3 = 2.23$. So, $\bar{t_1}=\frac{2.24 + 2.21+2.23}{3}=\frac{6.68}{3}\approx2.23$ s. ## Step2: Calculate average time for 0.50 m Using the same average - formula, with $x_1 = 3.16$, $x_2=3.08$, $x_3 = 3.15$. So, $\bar{t_2}=\frac{3.16+3.08 + 3.15}{3}=\frac{9.39}{3}=3.13$ s. ## Step3: Calculate average time for 0.25 - 0.50 m The time to travel from 0.25 m to 0.50 m is $t=\bar{t_2}-\bar{t_1}$. So, $t = 3.13 - 2.23=0.9$ s. ## Step4: Calculate velocity for 0.25 - 0.50 m The formula for velocity $v=\frac{d}{t}$, where $d = 0.25$ m and $t = 0.9$ s. So, $v=\frac{0.25}{0.9}\approx0.28$ m/s. # Answer: The average time that it takes for the car to travel the first 0.25m is 2.23 s. The average time to travel just between 0.25 m and 0.50 m is 0.9 s. Given the time taken to travel the second 0.25 m section, the velocity would be 0.28 m/s.