Answer:
a) 
b) 
c) 
d) Displacement = 22 m
e) Average speed = 11 m/s
Explanation:
a)
Notice that the acceleration is the derivative of the velocity function, which in this case, being a straight line is constant everywhere, and which can be calculated as:

Therefore, acceleration is 
b) the functional expression for this line of slope 4 that passes through a y-intercept at (0, 3) is given by:

c) Since we know the general formula for the velocity, now we can estimate it at any value for 't", for example for the requested t = 1 second:

d) The displacement between times t = 1 sec, and t = 3 seconds is given by the area under the velocity curve between these two time values. Since we have a simple trapezoid, we can calculate it directly using geometry and evaluating V(3) (we already know V(1)):
Displacement = 
e) Recall that the average of a function between two values is the integral (area under the curve) divided by the length of the interval:
Average velocity = 
Answer:
The force that is exerted when a shopping cart is pushed is a type of push force, supplied by the muscles of the cart pusher's body.
The forces that causes a metal ball to move toward a magnet is a type of pull force that is as a result of the magnetic field forces.
Explanation:
Forces are divided into push forces that tends to accelerate a body away from the source of the force, and pull forces that accelerates the body towards the force source.
Examples of push forces includes pushing a cart, pushing a table, repulsion of two similar poles of a magnet etc. Examples of pull forces includes a attractive force between two dissimilar poles of a magnet, pulling a load by a rope, a dog pulling on a leash etc.
Answer:
15N downwards
Explanation:
Net force is the sum of all forces acting on an object.
Taking upwards as positive and downwards as negative,
Net Force = 10N + (-25N)
= -15N
Hence <u>Net Force is 15N downwards</u>.
Answer:
A freely suspended magnet comes to rest along the N-S direction.
Explanation:
-Irrespective of direction of suspension, the bar eventually comes to rest at earth's N-S direction.
-Bar end that points to Earth's north is called the <em>North Pole</em>. Bar end that point's to earth's south is called the <em>South pole</em>.
-The reason for this default positioning is called the Directive Property. This is because earth acts as an external magnetic field.
Answer:
a)
, b) 
Explanation:
a) The minimum coeffcient of friction is computed by the following expression derived from the Principle of Energy Conservation:




b) The speed of the block is determined by using the Principle of Energy Conservation:




The radius of the circular loop is:


