Question

A motorcyclist drives with constant acceleration on a driveway to the E4 in between Sundsvall and Stockholm when a motorist on the motorway passes. At the passage, the motorcyclist has a speed of 70.0 km / h and the motorist has a speed of 115 km / h. motorist continues along the highway at the same constant speed. The motorcyclist continues with the same constant acceleration until the speed is reached 150 km / h, and then drive at that speed. Determine how long the motorcycle is the ride from the time it is passed by the motorist until the motorcycle catches up motorists, given that it takes the motorcyclist 12.0 s to accelerate from 70 to 150 km / h. Also indicate whether the motorcyclist catches up with the motorist before or after the speed 150 km / h is reached.

Answer 1

solution: Acch of motorcyclist 150 km/u v=utat = 70 kwyn + ax 12 -hr 60x60 > a = 24,000 km/h so, distance fraueled in 12 sec 2 Z 1 12 Si= ut t. + 2 a t² 70x 12 + x 24000 /12 3600 3600 s, = 0.37 km Now distance frauelled by motorist in 12 sec S2= 115 km/h h -0.38 km 3600 motorcyclist will not be calehed molonso before 150 km/h It will castch after it. speed 50 km/n) motorcyclist So, let after time t (after will catch motorist 115 x ft + c360) 0.37 + Isoxt Means n 0.01 hr = 1.03 sec. t = 35 13.03 sec . so total after