Answers edited by ali ergin

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What is the average speed of an object that is still at $t = 0$ $t=0$ and accelerates at a rate of $a (t) = 2 t^{2} - 3 t - 3$ $a(t) =2t^2-3t-3$ from $t \in [2, 4]$ $t in [2, 4]$ ?
A ball with a mass of $5 k g$ $5 kg$ is rolling at $8 \frac{m}{s}$ $8 m/s$ and elastically collides with a resting ball with a mass of $2 k g$ $2 kg$ . What are the post-collision velocities of the balls?
A projectile is shot at a velocity of $3 \frac{m}{s}$ $3 m/s$ and an angle of $\frac{π}{8}$ $pi/8$ . What is the projectile's peak height?
Objects A and B are at the origin. If object A moves to $(- 7, - 9)$ $(-7 ,-9 )$ and object B moves to $(1, - 1)$ $(1 ,-1 )$ over $8 s$ $8 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
How can I calculate the focal point of concave mirror?
A ball with a mass of $5 k g$ $5 kg$ is rolling at $3 \frac{m}{s}$ $3 m/s$ and elastically collides with a resting ball with a mass of $2 k g$ $2 kg$ . What are the post-collision velocities of the balls?
How do you solve $log 378 = x$ $Log 378 = x$ ?
An object with a mass of $4 k g$ $4 kg$ is hanging from a spring with a constant of $8 \frac{k g}{s^{2}}$ $8 (kg)/s^2$ . If the spring is stretched by $8 m$ $8 m$ , what is the net force on the object?
What is the integral of $\int {sin}^{3} (x) {cos}^{3} (x) d x$ $int sin^3 (x)cos^3 (x) dx$ ?
A ball with a mass of $9 k g$ $9 kg$ moving at $15 \frac{m}{s}$ $15 m/s$ hits a still ball with a mass of $2 k g$ $2 kg$ . If the first ball stops moving, how fast is the second ball moving?
What is the average speed of an object that is not moving at $t = 0$ $t=0$ and accelerates at a rate of $a (t) = 10 - 2 t$ $a(t) =10-2t$ on $t \in [3, 5]$ $t in [3, 5]$ ?
What is the cross product of $< - 3, - 1, 8 >$ $<-3, -1, 8 >$ and $< - 1, 4, - 9 >$ $<-1, 4, -9 >$ ?
The force applied against a moving object travelling on a linear path is given by $F (x) = 4 x + 4$ $F(x)= 4x + 4$ . How much work would it take to move the object over $x \in [1, 5]$ $x in [ 1, 5]$ ?
An object with a mass of $8 k g$ $8 kg$ is traveling in a circular path of a radius of $12 m$ $12 m$ . If the object's angular velocity changes from $15 H z$ $15 Hz$ to $7 H z$ $7 Hz$ in $6 s$ $6 s$ , what torque was applied to the object?
How much work would it take to push a $8 k g$ $8 kg$ weight up a $3 m$ $3 m$ plane that is at an incline of $\frac{π}{4}$ $pi / 4$ ?
A charge of $16 C$ $16 C$ is passing through points A and B on a circuit. If the charge's electric potential changes from $38 J$ $38 J$ to $12 J$ $12 J$ , what is the voltage between points A and B?
How fast will an object with a mass of $16 k g$ $16 kg$ accelerate if a force of $64 N$ $64 N$ is constantly applied to it?
A spring with a constant of $9 \frac{k g}{s^{2}}$ $9 (kg)/s^2$ is lying on the ground with one end attached to a wall. An object with a mass of $2 k g$ $2 kg$ and speed of $7 \frac{m}{s}$ $7 m/s$ collides with and compresses the spring until it stops moving. How much will the spring compress?
An object is thrown vertically at a height of $14 m$ $14 m$ at $1 \frac{m}{s}$ $1 m/s$ . How long will it take for the object to hit the ground?
If $A = {2, - 7, 5}$ $A = {2,-7 ,5}$ , $B = {5, - 7, 4}$ $B = {5,-7,4}$ and $C = A - B$ $C = A - B$ , what is the angle between A and C?
A balanced lever has two weights on it, the first with mass $15 k g$ $15 kg$ and the second with mass $14 k g$ $14 kg$ . If the first weight is $7 m$ $7 m$ from the fulcrum, how far is the second weight from the fulcrum?
Question #50cca
Two charges of $- 1 C$ $-1 C$ and $5 C$ $5 C$ are at points $(1, - 5, 3)$ $(1,-5,3 )$ and $(- 3, 9, 1)$ $( -3 , 9, 1 )$ , respectively. Assuming that both coordinates are in meters, what is the force between the two points?
How do you find the inverse of $y = 3 x^{2} - 2$ $y=3x^2-2$ and is it a function?
What is the distance between the following polar coordinates?: $(7, \frac{5 π}{4}), (2, \frac{9 π}{8})$ $(7,(5pi)/4), (2,(9pi)/8)$
How do you evaluate ${log}_{4} 27$ $log_4 27$ ?
Two charges of $- 4 C$ $-4 C$ and $- 2 C$ $-2 C$ are positioned on a line at points $- 1$ $-1$ and $4$ $4$ , respectively. What is the net force on a charge of $- 4 C$ $-4 C$ at $1$ $1$ ?
How do you simplify $\sqrt{77} \cdot \sqrt{33}$ $sqrt77*sqrt33$ ?
What is the projection of $< 3, - 6, 2 >$ $<3, -6, 2>$ onto $< 0, 1, 3 >$ $<0, 1, 3>$ ?
What is the component form of a vector with an initial point of (-2, 3) and a terminal point of (-4, 7)?
What is the projection of $< 5, 0, - 2 >$ $<5,0,-2 >$ onto $< 1, - 1, 0 >$ $<1,-1,0 >$ ?
How do you integrate $\int \frac{1}{\sqrt{x^{2} - 4 x + 13}} d x$ $int 1/sqrt(x^2-4x+13)dx$ using trigonometric substitution?
If a projectile is shot at an angle of $\frac{π}{6}$ $pi/6$ and at a velocity of $18 \frac{m}{s}$ $18 m/s$ , when will it reach its maximum height??
How do you find the slope of (-2, 5) and (-2, 8)?
An object, previously at rest, slides $5 m$ $5 m$ down a ramp, with an incline of $\frac{3 π}{8}$ $(3pi)/8$ , and then slides horizontally on the floor for another $12 m$ $12 m$ . If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
A ball with a mass of $480 g$ $480 g$ is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of $16 \frac{k g}{s^{2}}$ $16 (kg)/s^2$ and was compressed by $\frac{4}{5} m$ $4/5 m$ when the ball was released. How high will the ball go?
A spring with a constant of $6 \frac{k g}{s^{2}}$ $6 (kg)/s^2$ is lying on the ground with one end attached to a wall. An object with a mass of $1 k g$ $1 kg$ and speed of $4 \frac{m}{s}$ $4 m/s$ collides with and compresses the spring until it stops moving. How much will the spring compress?
How do you evaluate the integral of $\int \frac{d t}{{(t - 4)}^{2}}$ $int (dt)/(t-4)^2$ from 1 to 5?
How do you normalize $(- 7 i - j + 25 k)$ $(- 7 i -j +25k)$ ?
If a projectile is shot at an angle of $\frac{7 π}{12}$ $(7pi)/12$ and at a velocity of $1 \frac{m}{s}$ $1 m/s$ , when will it reach its maximum height?
A charge of $- 2 C$ $-2 C$ is at the origin. How much energy would be applied to or released from a $4 C$ $4 C$ charge if it is moved from $(7, 5)$ $(7 ,5 )$ to $(9, - 2)$ $(9 ,-2 )$ ?
How do you evaluate the integral of $\int \frac{x - 1}{x^{2} + 3 x + 2} d x$ $int (x-1)/(x^2+3x+2) dx$ from 0 to 1?
What is the projection of $< - 2, 3, 7 >$ $<-2,3,7 >$ onto $< 1, 6, 1 >$ $<1,6,1 >$ ?
How much work would it take to push a $9 k g$ $9 kg$ weight up a $2 m$ $2 m$ plane that is at an incline of $\frac{π}{6}$ $pi / 6$ ?
Objects A and B are at the origin. If object A moves to $(5, - 7)$ $(5 ,-7 )$ and object B moves to $(7, 4)$ $(7 ,4 )$ over $3 s$ $3 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
What is the slope of the line passing through the following points: $(2,6) ; (5,2)$ ?
What is the cross product of $<-3,0, 2>$ and $<-1, -2, 9 >$ ?
What is the dot product of $<-1,4,7>$ and $<9,-7,5 >$ ?
Objects A and B are at the origin. If object A moves to $(3 ,-4 )$ and object B moves to $(2 ,-6 )$ over $4 s$ , what is the relative velocity of object B from the perspective of object A?
How do you solve the following system: $6x+2y=-4, 3x - 4y = -10$ ?
An object, previously at rest, slides $15 m$ down a ramp, with an incline of $pi/3$ , and then slides horizontally on the floor for another $12 m$ . If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
A projectile is shot from the ground at a velocity of $1 m/s$ at an angle of $(5pi)/12$ . How long will it take for the projectile to land?
An object with a mass of $3 kg$ is traveling in a circular path of a radius of $15 m$ . If the object's angular velocity changes from $5 Hz$ to $3Hz$ in $5 s$ , what torque was applied to the object?
What is the distance between $(1 ,( pi)/4 )$ and $(-4 , ( 3 pi )/2 )$ ?
What is the cross product of $<3 ,1 ,-6 >$ and $<-2 ,-4 , 8 >$ ?
A baseball is thrown straight up at 15 m/s. How high will it go?
If a projectile is shot at a velocity of $52 m/s$ and an angle of $pi/3$ , how far will the projectile travel before landing?
The velocity of an object with a mass of $2 kg$ is given by $v(t)= sin 5 t + cos 6 t$ . What is the impulse applied to the object at $t= pi /4$ ?
How do you solve $5x^3 - 320 x = 0$ ?
An object, previously at rest, slides $9 m$ down a ramp, with an incline of $(pi)/6$ , and then slides horizontally on the floor for another $24 m$ . If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
Objects A and B are at the origin. If object A moves to $(8 ,5 )$ and object B moves to $(9 ,-2 )$ over $2 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
A train traveled 325 miles in 5 hours. What was the train's average rate of speed in miles per hour?
How do you find the definite integral of $int (1-2x-3x^2)dx$ from $[0,2]$ ?
Objects A and B are at the origin. If object A moves to $(6 ,-2 )$ and object B moves to $(2 ,9 )$ over $5 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
Two charges of $-2 C$ and $3 C$ are positioned on a line at points $5$ and $-6$ , respectively. What is the net force on a charge of $-1 C$ at $0$ ?
(a) With what speed must a ball be thrown vertically from ground level to rise to a maximum height of ? (b) How long will it be in the air ?
Two charges of $2 C$ and $8 C$ are positioned on a line at points $-3$ and $6$ , respectively. What is the net force on a charge of $-3 C$ at $-2$ ?
Objects A and B are at the origin. If object A moves to $(9 ,-7 )$ and object B moves to $(-8 ,6 )$ over $3 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
If an object with a mass of $5 kg$ changes speed from $12m/s$ to $8m/s$ , by how much does its kinetic energy change?
Objects A and B are at the origin. If object A moves to $(-2 ,8 )$ and object B moves to $(-5 ,-6 )$ over $4 s$ , what is the relative velocity of object B from the perspective of object A?
A block of silver has a length of 0.93 m, a width of 60 mm and a height of 12 cm. How do you find the total resistance of the block if it is placed in a circuit such that the current runs along its length? Along its height? Along its width?
What is the angular momentum of a rod with a mass of $2 kg$ and length of $6 m$ that is spinning around its center at $3 Hz$ ?
What is the derivative of $x*x^(1/2)$ ?
Two charges of $9 C$ and $2 C$ are positioned on a line at points $6$ and $-4$ , respectively. What is the net force on a charge of $3 C$ at $2$ ?
How do you solve $sqrt(3x)+8=x+2$ ?
The velocity of an object with a mass of $3 kg$ is given by $v(t)= sin 4 t + cos 3 t$ . What is the impulse applied to the object at $t= pi /6$ ?
A block weighing $4 kg$ is on a plane with an incline of $(pi)/2$ and friction coefficient of $4/5$ . How much force, if any, is necessary to keep the block from sliding down?
How do you integrate $int (x+1)/(x^2 + 6x)$ using partial fractions?
A ball with a mass of $2 kg$ is rolling at $9 m/s$ and elastically collides with a resting ball with a mass of $1 kg$ . What are the post-collision velocities of the balls?
A balanced lever has two weights on it, the first with mass $72 kg$ and the second with mass $9 kg$ . If the first weight is $2 m$ from the fulcrum, how far is the second weight from the fulcrum?
If $A = <-6 ,2 ,5 >$ , $B = <-8 ,3 ,4 >$ and $C=A-B$ , what is the angle between A and C?
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