30 points+!
soccer player kicks a ball from the ground with a speed of 16 m/s at an angle of 63°.

a. what is the horizontal component of the velocity?
b. what is the vertical component of the velocity?
c. how long does it take the ball to reach its highest point?
d. what is the maxium height of the ball?
e. what is the total amount of time that the ball is in the air?
f. how far is the ball form the soccer player when it lands?

A:7.2

B:14.25

C:1.45

D:10.3

E:2.9

F:20.88

Explanation:

Let be the velocity and be the angle between the velocity and ground.

Question A:

Horizontal component of velocity is given by .

So,horizontal component is

Question B:

Vertical component of velocity is given by .

So,vertical component is

Question C:

Time required is given by

Question D:

Maximum height is given by

Question E:

Time of flight is twice the time required to reach maximum height=.

Question F:

The distance between the player and ball after landing is called range and is given by

powerful computers now, not then

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s