Answer:
(a) 1, average velocity = -65.6 m/s
2, average velocity = -64.8 m/s
3, average velocity = -64.16 m/s
(b) The instantaneous velocity is -96 m/s
Explanation:
(a)
Average velocity is given by;

(1)

(2)

(3)

b. y = 235 - 16t²
The instantaneous velocity is given by;
v = dy /dt
dy / dt = -32t
when t = 3 s
v = -32(3)
v = -96 m/s
Ticker Tape analysis is a common way of analyzing the motion of the objects to perform in the physics laboratory. A long tape is attached to a moving object and threaded through a device that places a tick upon the tape at regular intervals of time. This ticker tape can also determine if the object is fast or slow. It can also reveal if the object is moving with a constant velocity or accelerating. The changing velocity and acceleration represented by the changing distance between dots in the ticker tape. And also the constant velocity and therefore no acceleration represent the constant distance between dots.
Answer: 0
Explanation:
Given that:
Distance walked per day = 1 mile
Starting position = front of house
Final position = front of house(initial position).
In other to aid understanding; Displacement simply refers to the shortest or least distance measured from an individual's initial position to his final point.
Here,
Assume, front of house = point A
Then , initial position = point A (front of house)
Final position, = point A (front of house)
Hence, the shortest distance between final and initial positions is :
Point A - Point A = 0
Since, starting point is the same as the final point, then Displacement = 0
Answer:
The y-component of the car's position vector is 670m/s.
The x-component of the acceleration vector is -3, and the y-component is 40.
Explanation:
The displacement vector of the car with velocity

is the integral of the velocity.
Integrating
we get the displacement vector
:

Now if the initial position if the car is

then the displacement of the car at time
is


Now at
, we have

The y-component of the car's position vector is 670m/s.
The acceleration vector is the derivative of the velocity vector:

and at
it is

The x-component of the acceleration vector is -3, and the y-component is 40.
Answer:
Tangential
Explanation: This is a kind of force which act on a moving body in such a way that it is curved in the direction of the path of the body. This implies that when the velocity of the object is positive, the acceleration will be negative.