# Finding minimum V and angle given horizontal and vertical travel

• putyoursoxon
In summary, the mountain climber is attempting to jump from point A to point B, with a horizontal distance of 1.8m and a difference in height of 1.4m. To determine the smallest initial velocity (Vo) and corresponding angle (alpha) for a successful landing at point B, the equations for horizontal and vertical distance are used. However, the equation for range cannot be used as the ground is not level. The conversation ends with one person asking for help with the problem.
putyoursoxon

## Homework Statement

a mountain climber plans to jump from A to B over a crevasse. Determine the smallest value of the climbers initial velocity Vo and the corresponding value of the angle alpha so he lands at B

## Homework Equations

A to B is 1.8m horizontal distance and B is lower than A by 1.4m
Xx=Vo*T
Xy=Vo*T-.5*9.81*t^2

## The Attempt at a Solution

Distance X = 1.8 = cos(alpha)*Vo*t => T=1.8/(cos(alpha)*Vo)
Distance Y = -1.4= Vo* (1.8/(cos(alpha)*Vo)-.5*9.81*(1.8/(cos(alpha)*Vo))^2

My question is I don't know what other equation to use since I have two unknown equations I thought I could use the Range equation R= (Vo^2/g)*Sin(2alpha) but this is not on level ground so I don't think it will work. Ideas?

salma shatta
should I put this in advanced? I am not sure.

Hi, I am can't solve the same problem!

I did the same thing, wrote down the equation for position using unit vectors, then replaced T in Y position equation.

and simplified everything to

Y(t)= -1.4= Vo*sin(alpha)* (1.8/(cos(alpha)*Vo)-.5*32.1*(1.8/(cos(alpha)*Vo))^2

Y(t)= -1.4= 1.8Tan(alpha) -51.8*(1+tan^2 (alpha))/V^2

sorry for my english

## What is the concept of "finding minimum V and angle given horizontal and vertical travel"?

The concept refers to the process of determining the minimum velocity and angle at which an object must be launched in order to reach a specific horizontal and vertical distance.

## What are the factors that affect the minimum V and angle required for a given horizontal and vertical travel?

The factors include the initial velocity, launch angle, air resistance, gravity, and the horizontal and vertical distance to be traveled.

## How can one calculate the minimum V and angle for a given horizontal and vertical travel?

The calculation involves using the equations of motion and solving for the initial velocity and launch angle that will result in the desired horizontal and vertical displacement.

## What are some real-life applications of finding minimum V and angle given horizontal and vertical travel?

This concept is commonly used in sports such as basketball, soccer, and baseball to determine the optimal angle and speed for shooting or throwing a ball to reach a specific target. It is also used in engineering and physics for designing projectiles and trajectories.

## What are some common mistakes to avoid when finding minimum V and angle given horizontal and vertical travel?

Some common mistakes include not accounting for air resistance, using incorrect equations or formulas, and not considering the effects of friction and other external forces. It is also important to double-check calculations and units to ensure accurate results.

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