# The car catches up to the motorcycle

A car is moving along the highway at a speed of 80 km/hr. A motorcycle passes the car at a constant speed of 110 km/hr. If the car starts accelerating at 5 m/s2 at the moment the motorcycle passes, how much distance will be covered until the car catches up to the motorcycle?

# A passenger is late for a train A passenger is late for a train. He stood at a railway station while the accelerating train passed him car by car. The passenger noticed that the last train car passed him for 8 seconds and the previous train car for 10 seconds. How long was the passenger late for the train? You should consider that the train moved with uniform acceleration and the length of the train cars is the same.

# How Long Does It Take to Get to Pluto?

A spaceship accelerates at a constant rate of 10 m / s2 for the first half of the trip and then slowing down at the same rate for the second half of the trip. The distance between Earth and Pluto is 4.773 * 1012 m. Can you calculate how long does it take to get to Pluto?

# What is the projection of the acceleration.

A small body moves forward along the OX axis. The body’s coordinate depends on time as x (t) = 2 + t-t^2, where t is expressed in seconds and the x – in meters. What is the projection of the acceleration of the body on the OX axis at time t = 1?

# What is the minimum distance between the vehicles? The two vehicles are moving one after the other in the same direction. At the initial time the distance between vehicles is 300 m. The velocity of the first vehicle is 10 m/s and the velocity of the second vehicle is twice larger than the velocity of the first vehicle. The second vehicle is behind the first vehicle. The both vehicles simultaneously accelerate with constant acceleration. The acceleration of the first vehicle equals 1 m/s^2, and the acceleration of the second vehicle in two times less. What is the minimum distance between the vehicles and at what time does the minimum distance occur?