Projectile Motion: Salmon Jumping a Waterfall - Calculating Minimum Speed Needed

In summary, the conversation is about a student seeking help with a physics problem involving projectile motion. The problem involves a salmon jumping a waterfall and the minimum speed it needs to reach the top level. The student is initially unsure how to approach the problem, but with the help of the forum, they are able to solve it using the range formula and other kinematic equations.
  • #1
Rumplestiltskin
97
3
Hi all. I just recently dropped psychology for physics so this topic as a whole has me stumped and the textbook isn't helping. I'll be using this thread for any questions that arise pertaining to projectile motion (so more than one), if that's cool? Should be really basic. Thanks.

1. Homework Statement

A salmon moving upstream to its breeding grounds jumps a waterfall 2.5m high. With what minimum speed must it leave the water below to reach the top level?

Homework Equations

[/B]
Vectors:
Vy = Vsinθ
Vx = Vcosθ

Suvat?

3. The Attempt at a Solution

Don't understand how you can work anything out with one piece of data...
 
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  • #2
Hi Rumplestiltskin, Welcome to Physics Forums.

Rumplestiltskin said:
I'll be using this thread for any questions that arise pertaining to projectile motion (so more than one), if that's cool? Should be really basic. Thanks.
That would be contrary to forum rules. One problem per thread, so new questions get new threads (even if they are on related topics).

Homework Statement

A salmon moving upstream to its breeding grounds jumps a waterfall 2.5m high. With what minimum speed must it leave the water below to reach the top level?

Homework Equations

[/B]
Vectors:
Vy = Vsinθ
Vx = Vcosθ

3. The Attempt at a Solution

Don't understand how you can work anything out with one piece of data :sorry:
You're given more than you might think as there is the assumption that this is a projectile motion problem taking place near the surface of the Earth. So you know, for example, that the motion will be affected by the acceleration due to gravity (g). and that all the standard kinematic equations for projectile motion apply.

Some things to become familiar with in the study of projectile motion include the range formula, the launch angle for maximum range, the maximum height of a projectile given its launch conditions (speed, angle).
 
  • #3
After a cursory reading into the topics you mentioned I came across the vaguely familiar formula v = √2gs. Plugging in 9.81ms-2 for g and 2.5m for displacement s, I arrived at 7 ms-1 for the answer; the mark scheme confirmed this. Thanks! And sorry to waste your time.
 

FAQ: Projectile Motion: Salmon Jumping a Waterfall - Calculating Minimum Speed Needed

1. What is projectile motion?

Projectile motion is the motion of an object through the air or space under the influence of gravity. It is a combination of a horizontal motion with a constant velocity and a vertical motion with a constant acceleration due to gravity.

2. What factors affect projectile motion?

The factors that affect projectile motion include the initial velocity, angle of launch, air resistance, and the force of gravity. Additionally, the mass and shape of the object can also have an impact on its motion.

3. How do you calculate the range of a projectile?

The range of a projectile can be calculated using the formula: R = (v2sin2θ)/g, where R is the range, v is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity (9.8 m/s2 on Earth).

4. What is the relationship between angle of launch and range in projectile motion?

The angle of launch has a significant impact on the range of a projectile. The optimum angle for maximum range is 45 degrees. As the angle increases or decreases from 45 degrees, the range decreases.

5. How does air resistance affect projectile motion?

Air resistance, also known as drag, can affect the motion of a projectile by slowing it down and reducing its range. The amount of air resistance depends on the shape and size of the object, as well as the density and viscosity of the air. In most cases, air resistance is negligible for small objects, but it can be significant for larger and faster-moving projectiles.

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