- #1
eekoz
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I've been practicing related rates problems, and I want to confirm a few things.
- When a pebble is dropped in water producing a circular wave, the rate that it travels outward is the rate of the changing radius, correct? In other words, dr/dt?
Also, I have two questions I can't really figure out. Here they are:
1. The ends of a water trough are equilateral triangles whose sides are 2 m long. The length of the trough is 15m. Water is being poured into the trouth at the rate of 3m^3/h. Find the rate at which the water level is rising when the depth of the water is 1m.
2. A softball diamond has the shape of a square with sides 20 m long. Suppose a player is running from the first base to the second base at 7 m/s. Find the rate at which the distance between the player and home plate is changing when the player is 5m from the first base.
Thanks in advance for any help! Anything would be greatly appericiated =)
- When a pebble is dropped in water producing a circular wave, the rate that it travels outward is the rate of the changing radius, correct? In other words, dr/dt?
Also, I have two questions I can't really figure out. Here they are:
1. The ends of a water trough are equilateral triangles whose sides are 2 m long. The length of the trough is 15m. Water is being poured into the trouth at the rate of 3m^3/h. Find the rate at which the water level is rising when the depth of the water is 1m.
2. A softball diamond has the shape of a square with sides 20 m long. Suppose a player is running from the first base to the second base at 7 m/s. Find the rate at which the distance between the player and home plate is changing when the player is 5m from the first base.
Thanks in advance for any help! Anything would be greatly appericiated =)