HELP DID I ANSWER THIS CORRECTLY? if not explain super short
1 answer:
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Answer:
The velocity of the particle will be zero for t = 1.47 sec .
Step-by-step explanation:
Given equation:
a(t)=t+sin(t)
lets integrate it with respect to time,
∫ a(t) dt = ∫(t+sin(t)) dt
⇒ v(t) = - cos(t) +c
At, t=0, v= -2 so,
⇒ -2 = 0 - 1 +c
⇒ c= -1
Hence,
v(t) = - cos(t) -1
for the velocity to be zero,
0 = - cos(t) -1
⇒ t = 1.47 sec (taking only positive value)
So at 1.47 sec the velocity of particle will be zero.
Answer:
Time taken by A = 16 seconds
Time taken by B = 12 seconds
Step-by-step explanation:
Given:
Two elevator and their respective time to reach certain height.
Here time is function of height.
Time taken by elevator A = 0.8(h)+16
Time taken by elevator B = -0.8(h)+12
We have to find the time taken by the elevator to reach ground level.
Accordingly:
We know that ground level the height will be zero meaning that (h=0).
Plugging the h values in the equation we can find the time taken by both the elevators to reach zero height that is the ground level.
⇒ ⇒
⇒ ⇒
⇒ sec ⇒
sec
So,
Time taken by elevator A and elevator B to reach the ground is 16 seconds and 12 seconds respectively.