Answer:
C.
Explanation:
The velocity is going down at the beginning of Carla's trip, so acceleration is decreasing; this means she was slowing down. Then, the line hits 0, which means she isn't moving. Then, she started moving again after 4 seconds, so she was speeding up.
Answer:
Explanation:
a ) V = 3 cos(0.5t)
differentiating with respect to t
dv /dt = -3 x .5 sin0.5t
= -1.5 sin0.5t.
acceleration = - 1.5 sin 0.5t
when t = 3 s
acceleration = - 1.5 sin 1.5
= - 1.496 ms⁻²
v = 3 cos.5t
b ) dx/dt = 3 cos 0.5 t
dx = 3 cos 0.5 t dt
integrating on both sides
x = 3 sin .5t / .5
x = 6 sin0.5t
At t = 2 s
x = 6 sin 1
x = 5.05 m
Answer:
Gas mileage is 17.29
Explanation:
Given data:
The total number of the model is 35
The total size of the engine is 5 ltr
The regression model is given as
From the information given in question we have
Regression equation is : model- mpg
Therefore for engine capacity of 5 liters;
Gas mileage
Gas mileage is 17.29
Answer:
c. The force on the charge at the origin is 0
Explanation:
We know by Coulomb's law:
Force between to two charges (here repulsive since both are +ve) sperated by distance 'r' in space is:
where:
= permittivity of free space
being the charges
In this case the product remains constant and also the distance "r" is constant which yields the force identical in each case.
Since identical charges are kept at all the four corners of a diamond shape and are equidistant from the origin where another charge of +5 μC is kept, all the charges from the vertices will apply equal repulsive force on the charge at origin cancelling out the force vectors which yields the force to be zero.
Answer:
D
Explanation:
On an inclination of 30°, the acceleration down the inclination will be gsinФ. So the acceleration will be ⇒
g Sin30° = (0.50) g