M1.) Nguyen jumps off a cliff with a height of 100 meters at a velocity of 3.5 meters per second to a save a cat. How long will it take her to reach the surface of the ocean?
A3.) A plane vertically flees a horde of zombies at a speed of 7.9 m/s at a height of 230m above the horde. A man slips out of the plane, how long does he have to grow wings and fly away from the horde of zombies before he falls into the zombies' clutches.
K5.) An archer, shoots an arrow straight upward with a velocity of 90.3 m/s. Captain America is standing 10m to the left of the archer. CA can throw his shield at 50 m/s. When should Captain America throw his shield.
Really confused!
A physics tutor will show up sooner or later. :) We are volunteers and are not all on line all the time.
ok. Thankyou. Apologize
DAMON please help.Thankyou
M1.
The direction of the initial velocity of 3.5 m/s is not mentioned.
Use
S=ut+(1/2)at^2 to solve for time t.
S=-100m (distance)
a=acceleration due to gravity = -9.81 m/s^2
u=initial velocity
u=0 if 3.5 m is horizontal
u=-3.5 if he dove into the ocean at that velocity.
To find the time it takes for Nguyen to reach the surface of the ocean after jumping off a cliff, we can use the equations of motion. The key equation we will use is the kinematic equation for displacement:
d = vit + (1/2)at^2
In this equation, d represents the displacement (or height in this case), vi represents the initial velocity, t represents the time taken, and a represents the acceleration.
Since Nguyen jumps off a cliff, her initial velocity is 3.5 m/s (vi = 3.5 m/s), and she falls due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2 (a = 9.8 m/s^2). The displacement is 100 meters (d = 100 meters).
Plugging these values into the equation, we get:
100 = (3.5)t + (1/2)(9.8)t^2
This equation is in the form of a quadratic equation. We can rearrange it to the form:
(1/2)(9.8)t^2 + (3.5)t - 100 = 0
Now we can solve this quadratic equation to find the value of t. We can use the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values, we get:
t = (-(3.5) ± √((3.5)^2 - 4(1/2)(9.8)(-100))) / (2(1/2)(9.8))
Simplifying this equation gives us two possible solutions for t. We take the positive solution since time cannot be negative:
t ≈ 4.04 seconds
Therefore, it will take Nguyen approximately 4.04 seconds to reach the surface of the ocean.
For the other two questions, the information provided is not sufficient to determine the time it takes for the man to grow wings and fly away or when Captain America should throw his shield.