A horse walks along a straight path. it travels 3 in one second, 4 m in the next second, and 5 m in the third second. describe t
1 answer:
Answer: The horse is moving with a uniform acceleration
Explanation:
According to the described situation, we are dealing with a <u>constant acceleration</u> (also called <u>uniform acceleration</u>), since the horse's velocity is changingn by a constant rate.
Let's prove it:
Firstly we are told the horse follows a straight path. In addition we are given its velocity:
3 m/s, then 4 m/s and 5 m/s
Since acceleration is defined as the change of velocity in time we can calculate it:
This is the horse's constant acceleration
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The initial velocity of the cat is 56.6 m/s
Explanation:
The motion of the cat is a projectile motion, consisting of:
- a uniform horizontal motion with constant velocity
- a vertical accelerated motion with constant acceleration (free fall)
We start by analyzing the vertical motion, to find the time it takes for the cat to reach the ground. We use the following suvat equation:
where we have (choosing downard as positive direction)
s = 125 m is the vertical displacement of the cat
u = 0 is the initial vertical velocity
t is the time taken to reach the ground
is the acceleration of gravity
Solving for t, we find
Now we can analzye the horizontal motion. Since the motion is uniform and the horizontal velocity is constant, it is given by
where
d = 286 m is the horizontal distance travelled
t = 5.05 s is the time taken
Solving the equation,
Learn more about projectile motion:
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Answer:
Radius of orbit = 3.992 × m
Altitude of Satellite =33541.9× m
Explanation:
Formula for gravitational force for a satellite of mass m moving in an orbit of radius r around a planet of mass M is given by;
Where G = Gravitational constant = 6.67408 × 10-11
We are given
F= 800 N
m = 320 Kg
M = 5.972 × Kg
G = 6.67408 × 10-11
We have to find radius r =?
putting values in formula;
==> 800 =6.67408 ×× 320 × 5.972 ×
/
==> 800= 39.8576 × × 320 /
==> 800 = 12754.43 × /
==> = 12754.43 ×
/800
==> =15.94 ×
==> r = 3.992 × m
==> r = 39920× m
This is the distance of satellite from center of earth. To find altitude we need distance from surface of earth. So we will subtract radius of earth from this number to find altitude.
Radius of earth =6378.1 km = 6378.1 × m
Altitude = 39920× - 6378.1 ×