Kinematics - Finding velocity of a baseball

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SUMMARY

The discussion focuses on calculating the initial velocity, horizontal distance, and time of flight for a baseball hit at an angle of 35 degrees below the horizontal, landing 24 meters above the playing field. The final velocity of the ball upon landing is 50 meters per second. The calculations reveal that the initial velocity upon leaving the bat is approximately 50.61 meters per second, the horizontal distance traveled is 235 meters, and the time of flight is 5.74 seconds. The discussion emphasizes the use of kinematic equations to solve these problems.

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kidia
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Hi I have a question
A baseball player hits a baseball that lands in stands 24 meters above the playing field.The ball land with velocity of 50 meters per second at angle of 35 degree below the horizontal.

a.If a player hits the ball 1 meter above the playing field,what was the velocity of the ball upon leaving the bat?
b.What was the horizontal distance traveled by ball
c.how long was the ball in air

I have done like this:

let r be angle in degrees

t=2usinr/g

time=?
velocity=50m/s
gravity=10

time= 2*50*sin35/10=5.74s
velocty of ball at 1m will be:

y=vsinrt-0.5gt
1=usin35*5.74-0.5*10*5.74*5.74
u=50.61m/s


b.horizontal distance traveled by ball

distance/time=velocity
then
distance/time=ucosr
distance=50cos35*5.74
distance=235m

c.Time of the ball in air.

t=2usinr/g

time=?
unitial velocity=50m/s
gravity=10

time= 2*50*sin35/10=5.74s

Any idea about this question?
 
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Let the horizontal and vertical components of the initial velocity be [tex]u_1, u_2[/tex]

Apply [tex]v^2 = u^2 + 2fS[/tex] in vertical and horizonatal directions to find u1 and u2.

Note that the vertical distance traveled is 24 -1 = 23 m.

So inital velocity = [tex]\sqrt {(u_1^2 + u_2 ^2)}[/tex]

(2). Apply [tex]v = u + ft[/tex] vertically to find the time of travell

(3) Apply [tex]s = ut + \frac{1}{2} f t^2[/tex] horizontally to find the distance travelled.
 
Ooo is fine but my doubt is about the angle 35 degees u didn't mention it
 

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