The equation of the car is given by the equation,
x(t) = 2.31 + 4.90t² - 0.10t⁶
If we are going to differentiate the equation in terms of x, we get the value for velocity.
dx/dt = 9.8t - 0.6t⁵
Calculate for the value of t when dx/dt = 0.
dx/dt = 0 = (9.8 - 0.6t⁴)(t)
The values of t from the equation is approximately equal to 0 and 2.
If we substitute these values to the equation for displacement,
(0) , x = 2.31 + 4.90(0²) - 0.1(0⁶) = 2.31
(2) , x = 2.31 + 4.90(2²) - 0.1(2⁶) = 15.51
Thus, the positions at the instants where velocity is zero are 2.31 and 15.51 meters.
Normal faults can be caused by physical stress.
Reverse faults can be caused by emotional stress.
Answer:
Acceleration = 0.9144 m/s^2
Explanation:
Initial speed = 45 ft/s
Final speed = 60 ft/s
Time = 5 sec
Acceleration = a = (v-u) / t
= 60-45 / 5
= 0.9144 m/s^2
Answer:
The force the skater exerts is 50 N
Direction: towards wall
Explanation:
The impulse is equal to:

The average force is:

Where
vf = final speed = -1 m/s
vi = initial speed = 0
m = mass = 40 kg
Δt = time interval = 0.8 s
Replacing:
(force applied by the wall)
The force the skater exerts is
Fsk = -Fave = -(-50) = 50 N
Direction: towards wall
Answer:
Third Option

Explanation:
If we have a vector A = ax + by we know that by definition
cA = cax + cby
Where c is a constant.
In this case we have two vectors

You may notice that vector B has an opposite direction to vector A.
You may also notice that | Ax | is the double of | Bx | and | Ay | is double of |By |
That is to say

So the equation that relates to vectors A and B is:
.
You can verify this relationship by performing the operation

