Answer: 0 m
Explanation:
Let's begin by stating clear that movement is the change of position of a body at a certain time. So, during this movement, the body will have a trajectory and a displacement, being both different:
The trajectory is the <u>path followed by the body</u> (is a scalar quantity).
The displacement is <u>the distance in a straight line between the initial and final position</u> (is a vector quantity).
According to this, in the description Matthew's home is placed at 0 on a number line, then he moves 10 m to the park (this is the distance between the park and Mattew's home), then 15 m to the movie theatre until he finally comes back to his home (position 0). So, in this case we are talking about the <u>path followed by Matthew</u>, hence <u>his trajectory</u>.
However, if we talk about Matthew's displacement, we have to draw a straight line between Matthew's initial position (point 0) to his final position (also point 0).
Now, being this an unidimensional problem, the displacement vector for Matthew is 0 meters.
Answer:
The horizontal distance d does the ball travel before landing is 1.72 m.
Explanation:
Given that,
Height of ramp 
Height of bottom of ramp 
Diameter = 0.17 m
Suppose we need to calculate the horizontal distance d does the ball travel before landing?
We need to calculate the time
Using equation of motion




We need to calculate the velocity of the ball
Using formula of kinetic energy



Using conservation of energy



Put the value into the formula


We need to calculate the horizontal distance d does the ball travel before landing
Using formula of distance

Where. d = distance
t = time
v = velocity
Put the value into the formula


Hence, The horizontal distance d does the ball travel before landing is 1.72 m.
A carpenter hammering a nail
Explanation:
This is the only choice that gives you an object exerting a force ( the carpenter/hammer ) and one that has a force exerted on it ( the bail )
All of the rest would be related to acceleration and speed
Answer:
Time for the first plane to cover 1 degree of latitude is 0.2hour
Time for the second plane to cover 1 degree of latitude is 0.203hour
Explanation:
Check attachment for solution