Answer:
.5m per second to the west
Explanation:
distance divided by time
The time taken is
Explanation:
The motion of the bullet is a uniform motion (=constant velocity), therefore we can use the following equation:
where
v is the speed of the bullet
d is the distance covered
t is the time taken
For the bullet in this problem,
d = 0.30 m is the distance travelled
v = 800.0 m/s is the speed
Solving for t, we find the time taken:
Learn more about speed:
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Black peppered moths had adapted to camoflage into their surroundings. Seeing as there was more pollution during the industrial revolution that made trees etc darker, the moths could camoflage more easily than other coloured moths who would have been more obvious to predators. These moths survived whereas the others did not. The surviving moths bred with other peppered moths to reproduce even more peppered moths who also survived.
Explanation:
If the distance between the bottom of the ladder and the wall is x, then:
cos θ = x / 10
Taking derivative with respect to time:
-sin θ dθ/dt = 1/10 dx/dt
Substituting for θ:
-sin (acos(x / 10)) dθ/dt = 1/10 dx/dt
Given that x = 6 and dx/dt = 1.1:
-sin (acos(6/10)) dθ/dt = 1/10 (1.1)
-0.8 dθ/dt = 0.11
dθ/dt = -0.1375
The angle is decreasing at 0.1375 rad/s.
Answer:
a) 10.0 m/s
b) -4.68 m/s
Explanation:
Given:
y₀ = 0 m
y = 4.00 m
t = 1.50 s
a = -9.8 m/s²
Find: v₀, v
y = y₀ + v₀ t + ½ at²
4.00 = 0 + v₀ (1.50) + ½ (-9.8) (1.50)²
v₀ = 10.0 m/s
v = at + v₀
v = (-9.8) (1.50) + 10.0
v = -4.68 m/s