# Projectile motion locust jump question

• The_big_dill
In summary, using the equation R = v²(sin²Ɵ) / 2 (g), the initial velocity of the Locust jumping 75 cm horizontally at a 55° angle above horizontal is 2.8 m/s.
The_big_dill

## Homework Statement

A Locust can jump as far as 75 cm horizontally, given a 55° angle above horizontal, what is the initial velocity?

Given:
d=75cm (0.75m)

Angle=55°

a= v/t

d=vt

## The Attempt at a Solution

t = (v)sin55 / 9.81

t = 0.75 / (v)cos55

t = t

(v)sin55 / 9.81 = 0.75 / (v)cos55

(cross multiply)

((v)sin55) ((v)cos55) = (9.81) (0.75)

v²(0.47) = 7.36

v = √ (7.36 / 0.47)

v = 4.0m/s

Figured it out :)

The textbook (McGraw-Hill Physics 12) only introduced the formula which makes it VERY easy to solve this question in the next few pages.

Solution:

R = v²(sin²Ɵ) / 2 (g)

(Plug in given values and solve for unknown variable)

v = 2.8 m/s

## 1. What is projectile motion?

Projectile motion is the motion of an object through the air that is affected by gravity. This type of motion follows a curved path known as a parabola.

## 2. How is projectile motion different from regular motion?

Regular motion follows a straight path, while projectile motion follows a curved path. Additionally, regular motion is not affected by gravity, while projectile motion is.

## 3. What is the equation for projectile motion?

The equation for projectile motion is y = y0 + v0yt - 1/2gt2, where y represents the vertical position, y0 represents the initial vertical position, v0y represents the initial vertical velocity, t represents time, and g represents the acceleration due to gravity.

## 4. How does the angle of projection affect projectile motion?

The angle of projection, also known as the launch angle, affects the range and height of a projectile. The optimal angle for maximum range is 45 degrees, while the optimal angle for maximum height is 90 degrees.

## 5. How does air resistance affect projectile motion?

Air resistance, also known as drag, can affect the path and speed of a projectile. It can cause the projectile to slow down and deviate from its expected path. This is why in real-life scenarios, the path of a projectile is not always a perfect parabola.

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