Projectile Motion: How Far Will a Seed Travel at a Given Angle and Velocity?

AI Thread Summary
To determine how far a seed travels when ejected from a height of 1.4 m at a velocity of 3.0 m/s at a 20-degree angle below the horizontal, the velocity must be broken into x and y components. The x-component is calculated as 3cos(20), while the y-component is 3sin(20). The quadratic equation is used to find the time of flight, with the equation set up as 0 = 1/2(9.8)t^2 + 3sin(20)t + 1.4. The total horizontal distance can then be calculated by multiplying the x-component by the overall time. This approach provides a systematic method to solve the projectile motion problem.
runningirl
Messages
118
Reaction score
0

Homework Statement



You spit a seed from a height of 1.4 m above the ground, at a velocity of 3.0 m/s at an angle of 20 below the horizontal. How far from you does it land?

Homework Equations



vxo= vo(cos20)
vyo=vo(sin20

The Attempt at a Solution



not sure where to start..
 
Physics news on Phys.org
Break the overall velocity into x and y components.

x direction <=> 3cos(20) = ?

y direction <=> 3sin(20) = ?

Use quadratic equation to find the overall time.

0= 1/2 (9.8)t^2 ( value for a) + 3sin(20)t (value for b) + 1.4 (value for c)

Total distance traveled can be calculated by ( 3cos(20) x ( overall time))

P.S. Next time , at least try to initiate the attempt.

Good luck.
 
Last edited:

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Find the height of a lamp based on the velocities of projectiles
Replies
40
Views
2K
How Long to Reach Maximum Height for a 70 m/s Projectile at 45 Degrees?
Replies
5
Views
2K
Projectile Motion - object that is shot at an angle of 55 degrees
Replies
8
Views
2K
How Do You Solve a Projectile Motion Problem?
Replies
3
Views
4K
Find Projectile Flight Time Given Only Maximum Height
Replies
4
Views
2K
I need opinions on a Projectile Motion problem that I made up
Replies
11
Views
2K
Projectile Motion on the Moon: Finding the Optimal Launch Angle Using Equations
Replies
2
Views
3K
Projectile motion above ground given only angle and height
Replies
3
Views
2K
Projectile Motion Graph Analysis
Replies
1
Views
2K
Projectile Motion Using Vectors
Replies
39
Views
4K

Hot Threads

Recent Insights

Back
Top