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`

Step-by-step 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=(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=(d_a)/(v)`

`T=(6.23)/(3)`

`T=2.08s`