Projectile motion locust jump question

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.
  • #1
The_big_dill
33
0

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°

Homework Equations


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
 
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  • #2
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
 

Related to Projectile motion locust jump question

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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