A kicked soccer ball has an initial velocity of 25 meters per second at an angle of 40 degrees above the horizontal level ground [neglect friction]

A)calculate the magnitude of the vertical component of the balls initial velocity

b) calculate the maximum height of the ball reaches above its initial speed

c) sketch the balls height from the its initial position at point p until it returns to level ground

i understand how to do the first question but how can i figure out the maximum height for b?

 

A kicked soccer ball has an initial velocity of 25 meters per second at an angle of 40 degrees above the horizontal level ground [neglect friction]

A)calculate the magnitude of the vertical component of the balls initial velocity

b) calculate the maximum height of the ball reaches above its initial speed

c) sketch the balls height from the its initial position at point p until it returns to level ground

i understand how to do the first question but how can i figure out the maximum height for b?

You need to start to post your attempts at answering these questions, if you expect people to help you.

 

emm heres my attempt

A) Viy sin 40 degrees

B) dy= vytrise is this the correct equation?

c) im not sure how i can sketch it yet


im confused with the 2nd problem how can i find maximum height if somoene can explain to me that wll help alot ^-^

 

A kicked soccer ball has an initial velocity of 25 meters per second at an angle of 40 degrees above the horizontal level ground [neglect friction]

A)calculate the magnitude of the vertical component of the balls initial velocity

b) calculate the maximum height of the ball reaches above its initial speed

c) sketch the balls height from the its initial position at point p until it returns to level ground

i understand how to do the first question but how can i figure out the maximum height for b?

I think you know the answer to part a), just do the calculation.

A hint for part b): What will be the ball's vertical velocity when it reaches its maximum height?

A hint for part c): What well-known shape will the ball's trajectory display? (This is basic ballistics knowledge)

 

The aha! moment for many basic physics students with this problem comes from them realizing the proper model of the situation. Two key points are:

1. The horizontal motion is free particle motion, as there's no horizontal force on the ball after the kick.
2. The vertical motion is a pure kinematic one and you've no doubt already been given the constant acceleration (i.e., constant force) kinematic equations for this type of motion.

The third concept needed is the ability to resolve the initial velocity vector into the relevant components.

 

Just write out all of the SUVAT (distance, init velocity, end velocity, acceleration, time) values you have for vertical and horizontal motion separately, and apply the any of the following formulas.

v = u + at
s = ut + 0.5at^2
v^2 = u^2 + 2as

 

Uy = 25 sin 40 degrees
Vy = 0
g = -9.81ms-2
This could be good enough. Just sub in values