Answer:
Step-by-step explanation:
The position of an object moving horizontally after t seconds is given by the function
s = 3t - t³
a) The object is stationary when there is no external force acting on the body. When the body is at rest, the body remains in a position and here is no distance covered by the object i.e s = 0
b) velocity is the change in displacement of a body with respect to time.
v = ds/dt
S = 3t - t³
V = ds/dt = 3-3t²
at t = 2
Velocity = 3-3(2)²
Velocity = 3-12
Velocity = -9m/s
c) acceleration is the change in velocity of a body with respect to time.
acceleration = dv/dt
If v = 3-3t²
a = dv/dt = -6t
When v = 0
0 = 3-3t²
-3 = -3t²
t² = 1
t = ±√1
t = 1sec
The acceleration of the object at v = 0 occurs at t = 1sec and -1sec
a = -6(1)
a = -6m/s²
d) Given the speed of the body v modelled by the function
v = 3-3t²
The speed is decreasing when it is less than zero as shown:
3-3t²< 0
3<3t²
1<t²
±1<t
1<t and -1<t
t>±1
t >1 and t>-1
The speed is decreasing when
3-3t²<0 and t>1 or t>-1
Answer:
D. (x, y) →
Step-by-step explanation:
A dilation is a transformation which reproduces an image of the same shape as the original, but might be of a different size.
When the dilation produces a smaller image is called a reduction.
Mathematically, a reduction occurs whenever the scale factor is between 0 and 1.
Out of the options, the only one that has a scale factor less than one is:
(x, y) →
Since the scale factor is 1/2 which is less than 1.
All other options are not reductions.
12divided by 3=4 15 divided by 3 = 5 So the answer is 55
Answer: √113 or 10.63
Step-by-step explanation: the exact answer is √113, or 10.63 if you're looking for the decimal form
Open the drawing that I have created for you
and attached to this answer.
