Question
Wayne Gretzky is arguably the greatest hockey player of all time. He holds many individual including the NHL career record for points scored. If Gretzky shoots the puck at a speed of 90km/h from the top of the offensive face-off circle 15 m from the net, how long will the puck take to reach the net? __ S (Round and record your answer to two significant digits) Some of the fastest moving arachnids are the long -legged Sun spiders (genus Solpuga) found in semi-desert areas throughout the world. These spiders are capable of moving up to 16km/h Use the following information to answer the next two questions 10. Moving at maximum speed, what is the shortest time it would take a Sun Spider to run between two fig trees that are 3.6 m apart? a. 0.23 s b. 14 s c. 1.5 s d. 0.81 S Numerical cal Response
Solution
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AdamMaster · Tutor for 5 years
Answer
### 0.60 s (for the puck)<br />### D. 0.81 s (for the sun spider)
Explain
## Step 1: Convert units<br />### We need to convert the speed from km/h to m/s. We know that 1 km = 1000 m and 1 hour = 3600 seconds. Therefore, $90 \, km/h = 90 \times \frac{1000 \, m}{3600 \, s} = 25 \, m/s$. Similarly, $16 \, km/h = 16 \times \frac{1000 \, m}{3600 \, s} \approx 4.44 \, m/s$.<br /><br />## Step 2: Calculate the time for the puck to reach the net<br />### We are given the distance (15 m) and the speed (25 m/s). Time is calculated as distance divided by speed: $t = \frac{d}{v} = \frac{15 \, m}{25 \, m/s} = 0.6 \, s$.<br /><br />## Step 3: Calculate the time for the sun spider to travel between the fig trees<br />### We are given the distance (3.6 m) and the speed (4.44 m/s). Time is calculated as distance divided by speed: $t = \frac{d}{v} = \frac{3.6 \, m}{4.44 \, m/s} \approx 0.81 \, s$.
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