Answer: 16.09m/s
Explanation:
Given the acceleration a(t) = 10/(t+1), to derive the velocity function, we need integrate the acceleration function.
v(t) = integral{10/t+1}dt
Since all constants always come out of the integral, the equation becomes;
v(t) = 10integral{1/t+1}dt
One of the integral law is that if the numerator of the function to be integrated is the differential of the denominator, the resulting answer will be natural logarithm of the denominator i.e ln(t+1) since the denominator is ln(t+1) and if differentiated will give us 1 which is the numerator hence, the reason for the answer ln(t+1)
v(t) = 10ln(t+1)
@ t= 4, the velocity of the particle
v(4) = 10ln(4+1)
v(4) = 10ln5
v(4) = 16.09m/s²
Therefore, the velocity of the particle at time t=4 is 16.09m/s
Answer:
<em>The velocity of the truck is 3.33 m/s</em>
Explanation:
<u>Law Of Conservation Of Linear Momentum
</u>
The total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and velocity v is
P=mv.
If we have a system of bodies, then the total momentum is the sum of the individual momentums:
If some collision occurs, the velocities change to v' and the final momentum is:
In a system of two masses:
There are two objects: The m1=4000 Kg car and the m2=6000 Kg truck. The car was moving initially at v1=4 m/s and the truck was at rest v2=0. After the collision, the car moves at v1'=-1 m/s. We need to find the velocity of the truck v2'. Solving for v2':
Substituting:
The velocity of the truck is 3.33 m/s
Answer: Whenever important physicists are discussed, Galileo Galilei, Isaac Newton, and Albert Einstein seem get the most attention. However, as you’ve seen, Galileo formulated or refined many of his discoveries and theories based on the findings of others who came before him, including Aristotle
Explanation:
Whenever important physicists are discussed, Galileo Galilei, Isaac Newton, and Albert Einstein seem get the most attention. However, as you’ve seen, Galileo formulated or refined many of his discoveries and theories based on the findings of others who came before him, including Aristotle
