Question

Billy now wants to throw a ball at $55$ degrees above the horizontal axis to Samantha, who is hanging from her apartment winder $25.0m$ above the ground. Her apartment is $45.0m$ away from Billy. What initial speed must Billy throw the ball so Samantha can catch it? (in m/s)

• A. $27.71$
  
• B. $25$
  
• C. $26.33$
  
• D. $27.56$
  

Answer 1

The correct option is A $27.71$

Equation of trajectory of projectile

$\Rightarrow y=x\tan \theta -\frac{g{x}^2}{2v^2{\cos }^2\theta }$

Puttting $y=25m,x=45m,\theta ={55}^o,g=9.81m/s^2$, we get

$\Rightarrow u=27.71m/s$

Hence, correct answer is option $A$