Answer:
19.3 m/s
Explanation:
Take down to be positive. Given:
Δy = 19 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: v
v² = v₀² + 2aΔy
v² = (0 m/s)² + 2 (9.8 m/s²) (19 m)
v = 19.3 m/s
Th correct answer to this question would be, Insulator. Notice in the question it says "Material". The question is basically asking, What item resists the flow of and electric current. A resistor is a device that suppose to strain the electric current. And resistance is the measure of how well the material can conduct an electric charge. With all of that being stated, Insulator materials include paper, dry wood, rubber, glass, ect. Insulator products provides resistance.
Make sure you read the questions very carefully.
Distance=average velocity x time =((12+8)/2) x 3 =30m
Answer:
F(t) = (-6.00 N/s^2)t^2
a(t) = (-3.00 N/s^2)t^2
Because F = ma, the acceleration function is the force function divided by mass (3.50 kg). Because the force is acting to the left, a negative has been introduced.
Take the integral of the acceleration function with the power rule for integrals. Initial velocity is 8.00 m/s
∫a(t) dt=v(t)+v1
v(t)=(-1m/s^4)*t^3+9 m/s
Setting velocity equal to zero and solving for t.
v(t)=0
t^3=9s^3
t=∛9s
=2.08 s
The integral of velocity is position. The object begins at the origin so initial position is 0
∫v(t) dt= x(t)
x(t)=(-0.25m/s^4)*t^4+(9m/s)*t
Plugging the t from step 3 into the x(t) function from step 4. This is the answer to part a.
x(2.08)=14 m
plug 3.50 s into the velocity function from step 2. Speed is the absolute value of velocity. This is the answer to part b.
v(3.5)=(1 m/s^4)(3.5 s)^3+9 m/s
= -18 m/s
speed(3.5 s)=║v(3.5)║=18 m/s