Answer:
9.39 m/s
Explanation:
Using the y-direction, we can solve for the time t it takes for the cart to reach the ground.
Assume the up direction is positive and the down direction is negative.
- v₀ = 0 m/s
- a = -9.8 m/s²
- Δy = -50 m
- t = ?
Find the constant acceleration equation that contains these four variables.
Substitute known values into this equation.
Multiply and simplify.
Divide both sides of the equation by -4.9.
Square root both sides of the equation.
Now we can use this time t and solve for v₀ in the x-direction. Time is most often our link between vertical and horizontal components of projectile motion.
List out known variables in the x-direction.
- v₀ = ?
- t = 3.194382825 s
- a = 0 m/s²
- Δx = 30 m
Find the constant acceleration equation that contains these four variables.
Substitute known values into the equation.
- 30 = (v₀ · 3.194382825) + 1/2(0)(3.194382825)²
Multiply and simplify.
Divide both sides of the equation by 3.194382825.
The cart was rolling at a velocity of 9.39 m/s (initial velocity) when it left the ledge.
Answer:
D. 2 m/s²
Step-by-step explanation:
Initial speed of the runner (u) = 6 m/s
Final speed of the runner (v) = 14 m/s
Time taken (t) = 4 s
By using equation of motion, we get:

Acceleration of the runner (a) = 2 m/s²
A rock is dropped from a 100-m-high cliff. How long do the first 50 meters and the second 50 meters take to fall?
(a) The first 50 meters:
h1 = 0.5 x a x t12
50 m = 0.5% x 9.8% x t12
t1 = 3.19 s
50 meter fall time equals 3.19 seconds.
(a) Counting all 100 meters:
h2 = 0.5 x a x t22
100 m = 0.5% x 9.8% x t22
t2 = 4.52 s
Time to fall 50 meters is equal to t2 - t1 = 1.33 s.
<h3>What is meter?</h3>
The Earth's circumference is around 40000 km, according to the original definition of the metre in 1793, which was one ten-millionth of the distance between the equator and the North Pole on a great circle. The metre was redefined in 1799 using a model metre bar (the actual bar used was changed in 1889). The definition of the metre in terms of a certain number of wavelengths of a specific krypton-86 emission line was made in 1960.
To know more about meter, visit;
brainly.com/question/14475998
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Answer:
x-component of velocity = 5.7 m/s
y-component of velocity = -1.4 m/s
Explanation:
Use first equation of motion to find components of velocity at a given time:

where,
is the final velocity,
is the initial velocity,
is the acceleration and
is the time.
Given:


