Projectile Motion (No initial velocity)

[th7172]

Homework Statement

A salmon starts 2.00 m from a waterfall that is 0.55 m tall and jumps at an angle of 32.0. What must be the salmon's minimum initial speed to reach the waterfall.

Homework Equations

$$\Delta$$y=v_isin$$\Theta$$$$\Delta$$t+1/2g$$\Delta$$t²

The Attempt at a Solution

I have tried all the related formulas for projectile motion, and I felt like I got somewhere a few times. But the results aren't really checking with a graphing calculator.

 

[G01]

You need to show your work in order to get help here.

What have you tried so far? And what exactly does the graphing calculator not agree with?

 

[baba89]

I would suggest breaking down the problem into smaller components and using the appropriate equations for each component. Firstly, we can calculate the time it takes for the salmon to reach the waterfall using the equation \Deltay=visin\Theta\Deltat+1/2g\Deltat^2, where \Deltay = 0.55 m, \Theta = 32.0, and g = 9.8 m/s^2. This gives us a time of approximately 0.14 seconds.

Next, we can use the equation v = \Deltax/\Deltat to calculate the initial velocity needed for the salmon to travel 2.00 m in 0.14 seconds. This gives us an initial velocity of approximately 14.29 m/s.

However, this only gives us the minimum initial velocity needed for the salmon to reach the waterfall. In reality, the salmon would need a higher initial velocity to actually reach the waterfall, as it would also need to overcome the force of gravity pulling it down. Therefore, it would be important to consider the trajectory and angle of the salmon's jump, as well as any other external factors that may affect its motion.