Solve the following equation: 3(2x - 8) + 4x = -2(12 - 7x) - 4x
1 answer:
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Answer:
The time that elapses before the players collide is 4.59 secs
Step-by-step explanation:
The distance between the two players is 41 meters. Hence, they would have total distance of 41 meters by the time they collide.
We can write that
S₁ + S₂ = 41 m
Where S₁ is the distance covered by Player 1 before collision
and S₂ is the distance covered by Player 2 before collision
From one of the equations of kinematics for linear motion,
+
Where is distance
is the initial velocity
is acceleration
and is time
Since the players collide at the same time, then time spent by player 1 before collision equals time spent by player 2 before collision
That is, t₁ = t₂ = t
Where t₁ is the time spent by player 1
and t₂ is the time spent by player 2
For player 1
= S₁
= 0 m/s ( The player starts at rest)
= 2.2 m/s²
Then,
S₁ = +
S₁ =
For player 2
= S₂
= 0 m/s ( The player starts at rest)
= 1.7 m/s²
Then,
S₂ = +
S₂ =
Since the time spent by both players is equal, We can write that
=
Then,
From, S₁ + S₂ = 41 m
S₂ = 41 - S₁
Then,
This is the distance covered by the first player. We can then put this value into to determine how much time elapses before the players collide.
Hence, the time that elapses before the players collide is 4.59 secs
Answer:
The velocity function is .
The acceleration function is .
When t = 44, the velocity is .
When t = 44, the acceleration is .
Step-by-step explanation:
We know that the position function is given by
Velocity is defined as the rate of change of position or the rate of displacement. If you take the derivative of the position function you get the instantaneous velocity function.
Acceleration is defined as the rate of change of velocity. If you take the derivative of the instantaneous velocity function you get the instantaneous acceleration function.
The instantaneous velocity function is given by
The instantaneous acceleration function is given by
To find the velocity and acceleration when t = 44, we substitute this value into the velocity and acceleration functions