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A projectile is shot at a velocity of #3 m/s# and an angle of #pi/8 #. What is the projectile's peak height?

What is the component form of a vector with an initial point of (2, 3) and a terminal point of (4, 7)?

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 postcollision velocities of the balls?

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?

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 #?

An object with a mass of # 8 kg# is traveling in a circular path of a radius of #12 m#. If the object's angular velocity changes from # 15 Hz# to # 7 Hz# in # 6 s#, what torque was applied to the object?

A balanced lever has two weights on it, the first with mass #15 kg # and the second with mass #14 kg#. If the first weight is # 7 m# from the fulcrum, how far is the second weight from the fulcrum?

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.

How do you solve #sqrt(3x)+8=x+2#?

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 #(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 integrate #int 1/sqrt(x^24x+13)dx# using trigonometric substitution?

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?

Objects A and B are at the origin. If object A moves to #(5 ,7 )# and object B moves to #(7 ,4 )# 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.

What is the dot product of #<1,4,7># and #<9,7,5 > #?

How do you simplify #sqrt77*sqrt33#?

Question #50cca

A ball with a mass of #9 kg# moving at #15 m/s# hits a still ball with a mass of #2 kg#. If the first ball stops moving, how fast is the second ball moving?

How do you evaluate the integral of #int (dt)/(t4)^2# from 1 to 5?

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 #?

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 #?

A charge of #2 C# is at the origin. How much energy would be applied to or released from a # 4 C# charge if it is moved from # (7 ,5 ) # to #(9 ,2 ) #?

How can I calculate the focal point of concave mirror?

A spring with a constant of #6 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #1 kg# and speed of #4 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?

The force applied against a moving object travelling on a linear path is given by #F(x)= 4x + 4#. How much work would it take to move the object over #x in [ 1, 5] #?

An object is thrown vertically at a height of #14 m# at #1 m/s#. How long will it take for the object to hit the ground?

What is the cross product of #<3,0, 2># and #<1, 2, 9 >#?

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?

A train traveled 325 miles in 5 hours. What was the train's average rate of speed in miles per hour?

What is the distance between the following polar coordinates?: # (7,(5pi)/4), (2,(9pi)/8) #

What is the cross product of #<3 ,1 ,6 ># and #<2 ,4 , 8 >#?

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 normalize #( 7 i j +25k)#?

How do you find the definite integral of #int (12x3x^2)dx# from #[0,2]#?

Two charges of # 1 C # and # 5 C # are at points # (1,5,3 ) # and # ( 3 , 9, 1 )#, respectively. Assuming that both coordinates are in meters, what is the force between the two points?

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 spring with a constant of #9 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #2 kg# and speed of #7 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?

How do you find the slope of (2, 5) and (2, 8)?

How do you evaluate #log_4 27#?

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.

How do you integrate #int (x+1)/(x^2 + 6x)# using partial fractions?

What is the slope of the line passing through the following points: # (2,6) ; (5,2)#?

How do you solve the following system: #6x+2y=4, 3x  4y = 10#?

How do you solve #Log 378 = x#?

What is the distance between #(1 ,( pi)/4 )# and #(4 , ( 3 pi )/2 )#?

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?

How do you solve # 5x^3  320 x = 0#?

What is the projection of #<2,3,7 ># onto #<1,6,1 >#?

If #A = <6 ,2 ,5 >#, #B = <8 ,3 ,4 ># and #C=AB#, what is the angle between A and C?

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 a projectile is shot at an angle of #pi/6# and at a velocity of #18 m/s#, when will it reach its maximum height??

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 #?

What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) =2t^23t3# from #t in [2, 4]#?

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 #?

What is the projection of #<5,0,2 ># onto #<1,1,0 >#?

(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 # 4 C # and # 2 C# are positioned on a line at points # 1 # and # 4 #, respectively. What is the net force on a charge of # 4 C# at # 1 #?

What is the derivative of #x*x^(1/2)#?

How much work would it take to push a # 9 kg # weight up a # 2 m # plane that is at an incline of # pi / 6 #?

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?

What is the average speed of an object that is not moving at #t=0# and accelerates at a rate of #a(t) =102t# on #t in [3, 5]#?

A ball with a mass of # 5 kg# is rolling at #3 m/s# and elastically collides with a resting ball with a mass of #2 kg#. What are the postcollision velocities of the balls?

If #A = {2,7 ,5}#, #B = {5,7,4}# and #C = A  B#, what is the angle between A and C?

How much work would it take to push a # 8 kg # weight up a # 3 m # plane that is at an incline of # pi / 4 #?

An object with a mass of #4 kg# is hanging from a spring with a constant of #8 (kg)/s^2#. If the spring is stretched by #8 m#, what is the net force on the object?

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 projection of #<3, 6, 2># onto #<0, 1, 3>#?

A ball with a mass of # 5 kg# is rolling at #8 m/s# and elastically collides with a resting ball with a mass of #2 kg#. What are the postcollision velocities of the balls?

How fast will an object with a mass of #16 kg# accelerate if a force of #64 N# is constantly applied to it?

Objects A and B are at the origin. If object A moves to #(7 ,9 )# and object B moves to #(1 ,1 )# over #8 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 integral of #int sin^3 (x)cos^3 (x) dx#?

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?

An object, previously at rest, slides #5 m# down a ramp, with an incline of #(3pi)/8 #, 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 charge of #16 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #38 J# to #12 J#, what is the voltage between points A and B?

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?

If a projectile is shot at an angle of #(7pi)/12# and at a velocity of #1 m/s#, when will it reach its maximum height?

What is the cross product of #<3, 1, 8 ># and #<1, 4, 9 >#?

A ball with a mass of #480 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #16 (kg)/s^2# and was compressed by #4/5 m# when the ball was released. How high will the ball go?

How do you find the inverse of #y=3x^22# and is it a function?

How do you evaluate the integral of #int (x1)/(x^2+3x+2) dx# from 0 to 1?

A baseball is thrown straight up at 15 m/s. How high will it go?

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