The maximum height is reached when the vertical component of the velocity is zero.
vertical direction:
acceleration: a = -g = -9.81m/s²
velocity: v = -g*t + v₀
position: y = -0.5*g*t² + v₀*t + y₀
For v= 0:
0 = -g*t + v₀ => t = v₀/g
Insert into position equation gives:
y(max) = (-0.5*v₀²/g) + (v₀²/g) + y₀ = (0.5*v₀²/g) + y₀
Answer:
speed of car = 95 km/h
speed of truck = 75 km/h
relative speed of car with respect to truck = 95 - 75 = 20 km/h
now we will convert it into m/s
now time to cross the truck will be given as
time = 19.8 s
so it will take 19.8 s to cross the truck
Explanation:
Answer:
d = 39.7 km
Explanation:
initial position of the boat is 45 km away at an angle of 15 degree East of North
so we will have
after some time the final position of the boat is found at 30 km at 15 Degree North of East
so we have
now the displacement of the boat is given as
so the magnitude is given as
Answer:
W = 68 J
Explanation:
On a force vs displacement chart, work is the area under the curve.
The area under the curve can be divided into a rectangle and a triangle
W = Fd = (2 N)(12 - 0 m) + ½(13 - 2 N)(12 - 4 m) = 68 N•m = J
Answer:
Answer is C.
Explanation:
To calculate the IMA for a wheel and axle, find the ratio of the larger radius to the smaller radius:
IMA = R/r
IMA = 9/3
IMA = 3
