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?

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A passenger is late for a train

mpzm6jA 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.

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Object, String & Elevator

BlogT_mg_elev
An object of mass m is hanging by a string from the ceiling of an elevator. The elevator is moving upward, but slowing down.

What is the tension in the string?

 

a) zero
b) greater than mg
c) exactly mg
d) less than mg

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Car and Cyclist

cyclist-carA car accelerates from rest in a straight line with a constant acceleration. At the same time a cyclist passes the car in the same direction at constant speed v. What is the velocity of the car when it reaches the cyclist?

Image Credit:CC/Flickr/Richard Masoner/Cyclelicious

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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?

 
 
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4th second

vehicle A vehicle starts from rest and accelerates uniformly for 4 seconds to a speed of 8 m/s. Find the distance that the vehicle has traveled during the 4th second. a) 16m b) 9m c) 7m d) 4m

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