A man walked 10 m north, then 5 m south. What distance did he walk? What is his final displacement?
get out your graph paper and plot the motion.
Clearly the distance walked is 10+5 = 15
Now, where did he end up? How far is that from where he started?
2. An object is moving in a straight line with a constant velocity of 5 m/s in the west direction. How far will it have moved after 3 minutes. What is the object’s acceleration?
3. An object travels east with a velocity of 10 m/s. It accelerates at a rate of 2m/s2 for 100 s. What is the velocity of the object after 100 s?
4. An object has an initial velocity of 10 m/s north and then speeds up to 30 m/s in the same direction in 4 s. What is the acceleration of the object?
5. An object accelerates from rest to a speed of 125 m/s over a distance of 1000 m. What is the acceleration of the object and how long did it take for the object to reach that velocity?
6. A stone was dropped from some height and reached the ground in 5 s. From what height was it dropped?
7. A tennis ball is launched at a 30o angle with a velocity of 175 m/s. Calculate the horizontal and vertical components of the initial velocity.
9. A body is projected downward at an angle of 30o with the horizontal from the top of a
building 170 m high. Its initial speed is 40 m/s. How long will it take before striking the
ground?
10. A hose lying on the ground shoots a stream of water upward at an angle of 40o to the
horizontal. The speed of the water is 20 m/s as it leaves the hose. How high up will it
strike a wall which is 8 m away?
11. A ball is thrown upward at an angle of 30o to the horizontal and lands on the top edge of a
building that is 20 m away. The top edge is
5 m above the throwing point. How fast was the ball thrown?
To find the total distance the man walked, we need to add up the magnitudes of each step he took. In this case, he walked 10 meters north, and then 5 meters south.
Total distance = 10 meters + 5 meters = 15 meters
Therefore, the man walked a total distance of 15 meters.
Now, let's find his final displacement. Displacement is a vector quantity that represents the straight-line distance and direction from the starting point to the endpoint.
Since the man first walked 10 meters north, and then 5 meters south, his final position will be 5 meters south of his starting point.
Hence, his final displacement is 5 meters south.