Ball Velocity Train Relative

We throw a ball in an express car traveling at a constant speed of 24 m/s, whose initial speed relative to the vehicle is 7 m/s. What is the initial velocity of the ball relative to the surface of the ground if we throw it

a) in the direction of travel
b) against the direction of travel
c) perpendicular to the direction of travel of the express train?

Final Answer:

v₁ =  31 m/s
v₂ =  17 m/s
v₃ =  25 m/s

Step-by-step explanation:

$$\begin{gathered} t=24\text{m/s} \\ m=7\text{m/s} \\ {v}_1=t+m=24+7=31\text{m/s} \end{gathered}$$

$v_2=t-m=24-7=17\text{m/s}$

$v_3=\sqrt{t^2+m^2}=\sqrt{24^2+7^2}=25\text{m/s}$

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