Question

A tourist travelling along a straight line section of a highway late at night has the car on cruise control. At 11:30 p.m. he notices a sign that Houston is 100.0 km away. At midnight, he notices that another sign reads Houston 40.0 km. If the tourist is located directly west of Houston on both occasions, find: a. his displacement for the half hour interval stated, b. his velocity, and c. his speed.

Answer 1

Answer:

x=30tanθ

∴( dX/dt )=(30sec²θ)⋅ dt/dθ

or v car=(30sec²θ)ω

∴ω= v car/30sec²θ

= 40/(30)sec²30°=1rad/s