Question

You are on a train that is traveling at 3.0 m/s along a level straight track. Very near and parallel to the track is a wall that slopes upward at a 12 angle with the horizontal. As you face the window (0.90 m high, 2.0 m wide) in your compartment, the train is moving to the left, as the drawing indicates. The top edge of the wall first appears at window corner A and eventually disappears at window corner B. How much time passes between appearance and disappearance of the upper edge of the wall

Answer 1

Questions Diagram is attached below

Answer:

$T=2.08s$

Explanation:

From the question we are told that:

Speed of Train $V=3.0m.s$

Angle $\theta=12\textdegree$

Height of window $h_w=0.90m$

Width of window $w_w=2.0m$

The Horizontal distance between B and A from Trigonometric Laws is mathematically given by

 $b=\frac{0.9}{tan12}$

 $b=4.23$

Therefore

Distance from A-A

 $d_a=2.0+4.23$

 $d_a=6.23$

Therefore

Time Required to travel trough d is mathematically given as

 $T=\frac{d_a}{v}$

 $T=\frac{6.23}{3}$

 $T=2.08s$