Range Equation

  • Thread starter delfam
  • Start date
  • #1
34
0

Homework Statement


a 78g basketball is launched at 40.4 degrees at at 14.2m, ball is released at same height as basket. what speed must the player give the ball.


Homework Equations


deltax = 2(Vo^2)sin(2theta)


The Attempt at a Solution


14.2 = 2Vo^2 * (.9871360) / 9.8
69.58 = Vo^2(.9871360)
Vo^2 = 70.48
Vo = 8.4
 

Answers and Replies

  • #2
alphysicist
Homework Helper
2,238
1
Hi delfam,

Homework Statement


a 78g basketball is launched at 40.4 degrees at at 14.2m, ball is released at same height as basket. what speed must the player give the ball.


Homework Equations


deltax = 2(Vo^2)sin(2theta)
I don't believe this equation is quite right. What should it be?

The Attempt at a Solution


14.2 = 2Vo^2 * (.9871360) / 9.8
69.58 = Vo^2(.9871360)
Vo^2 = 70.48
Vo = 8.4
 
  • #3
34
0
is it just (Vo^2) and not 2(Vo)^2
 
  • #4
jhae2.718
Gold Member
1,161
20
Try solving for the general form of the range equation by taking
[tex]x(t)=v_0\cos(\theta)t \,\,\,\,(1)[/tex] and
[tex]y(t)=y_0+v_0\sin(\theta)t-\frac{gt^2}{2} \,\,\,\,(2)[/tex]
solving (2) for the final time ([tex]t_f[/tex]), and then substituting [tex]t_f[/tex] into (1) and simplifying.

Hint: your expression is missing a term from one of these equations.
 
Last edited:

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