Answer Happy

1. A plane leaves Calgary airport and is scheduled to arrive in Toronto airport 3 hours later. Given that Toronto is 2700 km east of Calgary and the wind is blowing at 450 km/hr relative to the ground and at an angle of 60° north of east, what speed and direction should the plane fly so that it reaches Toronto on time? 2. The CN Tower in Toronto has 150 floors (including the ground floor) and each floor is 3 m high. You take the lift from the ground floor to the top floor. The lift accelerates upwards from rest for 1.5 seconds at a constant acceleration ay = 5 m/s2, it then moves at a constant speed, and then finally decelerates with a constant deceleration a3 = -1m/s2 until it comes to a stop. How long does the journey in the lift take and what is the maximum speed of the lift?