A hockey puck is hit on a frozen lake and starts moving with a speed of 14.4 m/s. 3.0 seconds later, its speed is 7.3 m/s.
(c) How far does the puck travel during the time interval?
v=v₀+a•t
a= (v-v₀)/t
s= v₀•t-a•t²/2
Post it.
To find the distance traveled by the puck during the time interval, we need to use the formula for average speed. Average speed is defined as the total distance traveled divided by the total time taken.
The average speed can be calculated using the formula:
Average speed = Total distance / Total time
Given that the initial speed of the puck is 14.4 m/s and the final speed is 7.3 m/s, we can use the average speed formula to find the total distance traveled.
First, let's calculate the total time taken:
Total time = Time at final speed - Time at initial speed
= 3.0 s
Next, we can calculate the average speed:
Average speed = (Initial speed + Final speed) / 2
= (14.4 m/s + 7.3 m/s) / 2
= 10.85 m/s
Finally, we can use the average speed and total time to calculate the total distance traveled:
Total distance = Average speed * Total time
= 10.85 m/s * 3.0 s
= 32.55 m
Therefore, the puck travels a distance of 32.55 meters during the given time interval.