Homework Statement
The air table is approximately 25 cm square. If the incline has a rise of 1cm over that distance, what is the maximum velocity up the slope that a puck may have and not hit the upper wall
Homework Equations
ymax = (V^2sin(θ))/(2g)
xmax = 2V^2sin(θ)cos(θ)/g
The...
I emailed my professor and he responded with " You are solving a quadratic equation to find the time the car takes to hit the water, which is a recipe for wrong arithmetic. You can find the time using a first-order equation, and this is by far the best way to do it... much less chance of making...
Homework Statement
A car is parked near a cliff overlooking the ocean on an incline that makes an angle of 29.3 degrees with the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline and has a velocity of...
Homework Statement
Calculate the integral:
from 0 to pi/2
I=\intsin x {2f′(cos x) − 1} dx
When f(0) = 2 and f(1) = 4
Homework Equations
The Attempt at a Solution
integral from zero to pi/2 of 2\intsin(x){f'(Cos (x) -1}dx
u = cos (x)
du = -sinx dx
(Here is where I...
Homework Statement
When the Sun is directly overhead, a hawk dives toward the ground at a speed of 4.24 m/s
If the direction of his motion is at an angle of 61.7 below the horizontal, calculate the speed of his shadow along the ground
Answer in units of m/s
Homework Equations
A_x...