The definition of average acceleration allows to find the result for the average acceleration in the given time interval is:
Instantaneous acceleration is defined as the derivative of velocity with respect to time.
a =
Where a is the acceleration, v the velocity and t the time.
They indicate that the speed of the car is given by the relation.
v = α t + β t²
With α = 3 m / s and β = 0.1 m / s³
Let's make the derivative.
a = α + 2β t
Let's substitute
a = 3 + 2 0.1 t
Average acceleration is the change in velocity in the time interval.
Let's find the velocity at the indicated time.
For t = 5 s
v₅ = 3 + 0.1 5²
v₅ = 5.5 m / s
For t = 10 s
v₁₀ = 3 + 0.1 10²
v₁₀ = 13 m / s
Let's calculate the average acceleration.
In conclusion using the definition of mean acceleration we can find the result for the mean acceleration in the given time interval is:
1.5 m / s²
Learn more here: brainly.com/question/20057878
Answer:
16.17 m/s
Explanation:
h = 3.2 m
u = 18.1 m/s
Angle of projection, θ = 49°
Let H be the maximum height reached by the ball.
The formula for the maximum height is given by


The vertical distance fall down by the ball, h' H - h = 9.52 - 3.2 = 6.32 m
Let v be the velocity of ball with which it strikes the ground.
Use third equation of motion for vertical direction

here, uy = 0
So,

vy = 11.13 m/s
vx = u Cos 49 = 18.1 x 0.656 = 11.87 m/s
The resultant velocity is given by


v = 16.27 m/s
The weight force on an object in a gravitational field is given by

where

is the mass in kg and

is the acceleration<span> due to gravity at that place. Rearranging:
</span>

or

Explanation:
Venus is only slightly smaller than Earth, in both mass and radius, so this answer makes sense, when compared with the value of
<span>at Earth's surface.</span>
Answer:
blank plus water is produ-ed in a tunnel and generate the electricity