There both minerals and there both
Straight line distance between their home and the store can be solve using cosine law. first is solve the angle which is180 - 45 = 135 degree
C^2 = a^2 + b^2 - 2ab cos(135)c^2 = 5^2 + 5^2 - 2(5)(5) cos(135)c^2 = 85.35c = 9.24 km is the straight line distance between their home and the store
Answer:
The average speed during the trip is 6.16 
Explanation:
Speed is a physical quantity that expresses the variation in position of an object and as a function of time. In other words, speed expresses the relationship between the space traveled by an object, the time used for it and its direction.
The speed can be calculated by the expression:
Aaron rode his bike home for 1.6 hours at 6.5 km/h and another 15 minutes at 4 km/h. So, the distance in each of the stages can be calculated as, taking into account that 60 minutes= 1 hour:
- distance1=speed*time= 6.5
*1.6 hours= 10.4 km
- distance2= speed*time= 4 *15 minutes= 4 *0.25 hours= 1 km
So:
- total distance= 10.4 km + 1 km= 11.4 km
- total time= 1.6 hours + 0.25 hours= 1.85 hours
Then:
<u><em>The average speed during the trip is 6.16 </em></u><u><em></em></u>
Answer:
H = 1/2 g t^2 where t is time to fall a height H
H = 1/8 g T^2 where T is total time in air (2 t = T)
R = V T cos θ horizontal range
3/4 g T^2 = V T cos θ 6 H = R given in problem
cos θ = 3 g T / (4 V) (I)
Now t = V sin θ / g time for projectile to fall from max height
T = 2 V sin θ / g
T / V = 2 sin θ / g
cos θ = 3 g / 4 (T / V) from (I)
cos θ = 3 g / 4 * 2 sin V / g = 6 / 4 sin θ
tan θ = 2/3
θ = 33.7 deg
As a check- let V = 100 m/s
Vx = 100 cos 33.7 = 83,2
Vy = 100 sin 33,7 = 55.5
T = 2 * 55.5 / 9.8 = 11.3 sec
H = 1/2 * 9.8 * (11.3 / 2)^2 = 156
R = 83.2 * 11.3 = 932
R / H = 932 / 156 = 5.97 6 within rounding
Answer:
If gravity on Earth is increased, this gravitational tugging would have influenced the moon's rotation rate. If it was spinning more than once per orbit, Earth would pull at a slight angle against the moon's direction of rotation, slowing its spin. If the moon was spinning less than once per orbit, Earth would have pulled the other way, speeding its rotation.
