Answer:
Distancia, S = 136 metros
Explanation:
Dados los siguientes datos;
Aceleración, a = 3 m/s²
Velocidad inicial, u = 5 m/s
Tiempo, t = 8 segundos
Para encontrar la distancia recorrida, usaríamos la segunda ecuación de movimiento;
S = ut + ½at² Sustituyendo en la fórmula, tenemos;
S = 5 × 8 + ½ × 3 × 8²
S = 40 + 1,5 × 64
S = 40 + 96
Distancia, S = 136 metros
Efficiency or
is calculated by formula:
where
also efficiency has no unit.
Now put in the data and calculate the efficiency.

The efficiency of the machine is 0.8
If you want to get percentage just multiply by 100 and you get 80%
Hope this helps.
r3t40
Answer:
a) Time = 2.67 s
b) Height = 35.0 m
Explanation:
a) The time of flight can be found using the following equation:
(1)
Where:
: is the final position in the horizontal direction = 80 m
: is the initial position in the horizontal direction = 0
: is the initial velocity in the horizontal direction = 30 m/s
a: is the acceleration in the horizontal direction = 0 (the stone is only accelerated by gravity)
t: is the time =?
By entering the above values into equation (1) and solving for "t", we can find the time of flight of the stone:

b) The height of the hill is given by:
Where:
: is the final position in the vertical direction = 0
: is the initial position in the vertical direction =?
: is the initial velocity in the vertical direction =0 (the stone is thrown horizontally)
g: is the acceleration due to gravity = 9.81 m/s²
Hence, the height of the hill is:
I hope it helps you!
Answer:
Explanation:
given,
initial speed of the shot = 12.0 m/s
angle = 40°
height at which shot leaves her hand = 1.80 m
v_x = 12 cos 40° = 9.19 m/s
v_y = 12 sin 40° = 7.71 m/s
time to reach maximum height =
= 
= 
= 0.787 s

h = 7.71 × 0.787 - 0.5 × 9.81 × 0.787²
h = 3.03 m
the maximum height attain = 3.03 + 1.8 = 4.83 m
now free fall from the maximum height


t = 0.9928 s
total time = 0.9928 + 0.787 = 1.7798 s
range =
d = vₓ t
d = 16.36 m