Answer to Question #241459 in Molecular Physics | Thermodynamics for Kelani

Question #241459

Pedro and Joanna decide to try a problem.


A baseball is thrown from the top of a tall building with an initial velocity of 10.5 m/s from a height of h = 10 m above the ground.


Find its speed when it reaches the ground if its launch angle is 37°.

vf =___  m/s


Find its speed if it is launched horizontally.

vf = ___ m/s


1
Expert's answer
2021-09-28T11:14:12-0400

In the first case, we will use the following equations:


hup=v2sin2θ2g, hdown=hup+h=v2sin2θ2g+h=12 m.h_\text{up}=\frac{v^2\sin^2\theta}{2g},\\\space\\ h_\text{down}=h_\text{up}+h=\frac{v^2\sin^2\theta}{2g}+h=12\text{ m}.

The vertical component of velocity:


vy=2ghdown=15.4 m/s,vx=vcosθ=8.39 m/s2. v=vy2+vx2=17.5 m/s.v_y=\sqrt{2gh_\text{down}}=15.4\text{ m/s},\\ v_x=v\cos\theta=8.39\text{ m/s}^2.\\\space\\ v=\sqrt{v_y^2+v_x^2}=17.5\text{ m/s}.

In the second case:

vy=2gh=14 m/s,vx=vcosθ=8.39 m/s2. v=vy2+vx2=16.3 m/s.v_y=\sqrt{2gh}=14\text{ m/s},\\ v_x=v\cos\theta=8.39\text{ m/s}^2.\\\space\\ v=\sqrt{v_y^2+v_x^2}=16.3\text{ m/s}.

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