Kinematic calculus Definition and 16 Threads

I tried to solve using trigonometry. Let angle between line CA ad BA be theta and angle between BA and AC be alpha. 30sin theta= 40 sin alpha 30 cos theta + 40 cos alpha + 2vt=50 I have no idea how to proceed after this.

$$ v_1= 115km/h $$ $$ v_2= 60km/h $$ solution: $$ \frac {v_1 + v_2}{2} $$

$$t_A= 3s$$ $$ s= 100m$$ $$v_A= 5m/s$$ $$v_B=7m/s$$ $$s(t)=7(t-3)+0$$

for example, I want to know velocity of a person when time is equal to t, that person start running from 0m/s (t=0s) to max velocity of 1m/s (t=1s). I am thinking that this is like rain droplet that affected by gravity and drag force, where force is directly proportional to its velocity, to make...

this is problem #57 from chapter 4 of "Physics for engineers and scientists vol1" ,it was solved in the book by a method the author calls "successive approximation, he first calculated the flight time of the projectile and then "corrected" for the ship's displacement. i know this is a perfectly...

Hi, I have an experimental setup where we are taking certain different types of metals of varying shapes and sizes, weighing them, taking approximate measurements, and then blowing it off of a table of a fixed height with an Air Nozzle. The data taken down in experiment is the PSI at which the...

the red line is the initial velocity, the grey parabola is the path of the projectile. hi there...I'm kinda stuck at the part b of this problem. I can do part a with no problem. can anybody explain to me how to do the differentiation needed to solve part b?? by explain I mean explain the...

Homework Statement Three particles A, B, C, are situated at the vertices of equilateral triangle of side l. They approach each other with velocity v, such that A always moves toward B, B towards C and C towards A. What will be the initial acceleration? Homework EquationsThe Attempt at a...

hi, I'm a high-school student that is just beginning to learn calculus. in calculus we are learning how to apply integration and diffrentiaiton methods regarding kinematics. there is this certain phrase i do not really understand in our textbook: e.g."in the second second" how am i meant to...

Homework Statement [/B] A particle P1 moves with a constant velocity v along x-axis, starting from origin. Another particle P2 chases particle P1 with constant speed v, starting from the point (0, d). Both motion begin simultaneously. Find - 1. Initial acceleration of P2. 2. Ultimate...

Homework Statement To protect his food from hungry bears, a boy scout raises his food pack with a rope that is thrown over a tree limb at height $$h$$ above his hands. He walks away from the vertical rope with constant velocity $$v_b$$, holding the free end of the rope in his hands (a) Show...

Here is a made up function of force changing with respect to displacement: F(x) = 2000 - 100x The force is applied onto an object, pushing it horizontally. Ignore friction and air resistance. The mass is constant. I'm trying to find Velocity with respect to displacement. Attempt 1: Knowing F =...

Assuming we have a cylinder that is rotating on a single axis, how would I go about calculating the torque knowing the following information? m = 2000 kg w = 60 rpm r = 5 m

Homework Statement Find the total tension acting on a rod rotating about its end with an angular velocity of w as a function of its length x(length) Homework Equations F = ma[/B] The Attempt at a Solution Let the function be T(x) where x is the length of the rod. Considering an interval...

Homework Statement The acceleration of a particular car during braking has magnitude bt, where t is the time in seconds from the instant the car begins braking, and b = 2.2 m/s3 .If the car has an initial speed of 60 m/s , how far does it travel before it stops?Homework Equations : [/B] I know...

A particle P moves on the x-axis. At time t seconds the velocity of P is V m/s in the direction of x increasing?o V is given by V={8t-3/2t²} for 0≤t≤4 Also V={16-2t} for t>4 Why does the acceleration have to equal zero to get the greatest speed of P in interval 0≤t≤4