Answer:
427.196 m
Explanation:
u = Initial velocity = 312 m/s
t = Time = 1.4 s
s = Displacement
a = -9.8 m/s² (because the bullet is decelerating as the bullet is going straight up)
Equation of motion
So, Displacement at 1.4 seconds is 427.196 m
Answer:light year is a measurement of distance. It is often used in special theory of relativity
Explanation:
Answer:
6.35 m/s
Explanation:
The motion of the salmon is equivalent to that of a projectile, which consists of two independent motions:
- A horizontal motion with constant speed
- A vertical motion with constant acceleration (, acceleration of gravity)
The horizontal velocity of the salmon is given by:
where
u = ? is the initial speed
is the angle of projection
Then the horizontal distance covered by the salmon after a time t is given by
Or equivalently, the time taken to cover a distance d is
(1)
Along the vertical direction, the equation of motion is
(2)
where
is the initial vertical velocity
If we substitute (1) into (2), we get:
We now that in order to reach the breeding grounds, the salmon must travel a distance of
d = 2.02 m
reaching a height of
h = 0.574 m
Substituting these data into the equation and solving for u, we find the initial speed that the salmon must have:
Answer:
The induced current will be counterclockwise.
Explanation:
Magnetic field lines always begin on north poles and end on south poles. This means that there is an increase of magnetic field lines going into the plane of the loop. The induced current will be counterclockwise to oppose this change.
Let us say that:
1 = 1st player notation
2 = 2nd player notation (the opponent)
a. First let us establish the distance travelled by the 2nd
player:
d2 = 13 m/s * (t + 1.5)
d2 = 13 t + 19.5
Then the distance of the 1st player:
d1 = v0 t + 0.5 a t^2 (v0
initial velocity = 0 since he started from rest)
d1 = 0.5 * 4 m/s^2 * t^2
d1 = 2 t^2
The two distances must be equal, d1 = d2:
2 t^2 = 13 t + 19.5
t^2 – 6.5 t = 9.75
Completing the square:
(t – 3.25)^2 = 9.75 + (- 3.25)^2
t – 3.25 = ±4.5
t = -1.25, 7.75
Since time cannot be negative, therefore:
t = 7.75 seconds
So he catches his opponent after 7.75 seconds.
b. Using the equation:
d1 = 2 t^2
d1 = 2 * (7.75)^2
d1 = 120.125 m
So he travelled about 120.125 meters when he catches up
to his opponent.