Question 4:

A subway train starts from rest at a station and accelerates at a rate of 1.87 m/s^2 for 23.2. It moves at a constant speed for 1.50 minutes, and slows down at a rate of 2.50 m/s^2 until it stops at the next station.

Find the total distance (in m) that was travelled by the train.

Question 5:

On the tiled floor below, a crate is dragged 10 tiles down, 4 tiles to the right, 6 tiles up, and finally 7 tiles to the right. Each tile is 25.0 cm long and takes 1.50 s to cross.

a) On the grid provided below: 1) draw the exact path physically travelled by the crate, 2) label the ending point END, 3) on each section of the motion, indicate the motion's direction, and 4) indicate with a dashed line the overall direction of the displacement from START TO END.

b) Determine the overall displacement (in cm) of the crate.

c) what is the average velocity in (cm/s) of the crate? what is its average speed ( in cm/s)?

Question 6:

A soccer ball is kicked upward ( at an angle) from the roof of a 295-m building. The ball is given an initial speed of 26.5 m/s. It is airborne (in the air) for a period of 10.40 s.

a) Sketch a basic (yet representative) diagram of the problem, including the ground, the building, the ball, and its trajectory. properly indicate the physical values given above on the diagram.

b) What is the angle (in degrees) at which the soccer ball was kicked?

c) If the ball is instead kicked with an initial of 22.5 ,/s ( at the same angle found above), determine how long (in s ) it say airborne. (Hint: set up the proper projectile motion equation, an then use the quadratic formula to solve for time)

d) What is the new horizontal distance (in m) travelled by the ball?