HONORS PHYSICS
ACCELERATED MOTION
1. The graph of a cart moving along an inclined track is shown below. The initial position of the cart at time t = 0
seconds was x = 0 meters.
(a)
(b)
(c)
(d)
Write the mathematical models for position and velocity for this cart.
Find the position of the cart when it turns around.
Write the narrative for the motion of the cart from t = 6 seconds to t = 12 seconds.
Draw the position graph for the cart.
2. The position of a car is given by the model
(a)
(b)
(c)
(d)
, where x is in meters and t is in seconds.
Write the mathematical model for the velocity of the car.
Does the car ever turn around? If so, find the time this occurs at.
What is the position of the car when it turns around?
How much time does it take the car to return back to its starting point?
3. A cart starts at a position of 2 meters and follows the velocity model of
seconds. Find the position of the cart when it changes direction.
, where v is in m/s and t is in
4. The narrative for a car is as follows: A car is moving to the right with a constant velocity of 12 m/s. It suddenly
applies the brakes giving the car an acceleration of
m/s2.
(a) What is the speed of the car after t = 2 seconds?
(b) How much time does it take the car to stop?
(c) If the initial position of the car is taken to b zero, how far does the car go from the moment the brakes were
applied to the time it stopped?