Can the distance traveled by a particle ever be less than its displacement? When are they equal?

Q: A ball is shot straight up into the air with initial velocity of 45 ft/sec. Assuming that the air…

A: we know third law of equation of motionv2=u2+2aswhen ball reaches to highest point then final…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 5 cm/min.…

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Q: The radius of a sphere decreases at a rate of 1 m/se decreases when the radius is 15 m

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Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of  6cm/min.…

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Q: Find the velocity v of an ocean freighter that is traveling 30° south of east at 30 km/hr.

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Q: A spherical balloon is inflated with air at a rate of 32 cm3/ min. At what rate does the radius…

A: Find dr/dr.

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 10 cm/min.…

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Q: fast is the distance between the two cars changing?

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Q: The sides of a square decrease in length at a rate of 1 m/s. At what rate is the area of the square…

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Q: Can instantaneous velocity be defined as a ratio? If not, how is instantaneous velocity computed?

A: We know that instantaneous velocity is the average velocity between two points on the path in the…

Q: Suppose the velocity of an object moving along a line is positive. Are displacement and distance…

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Q: A rock is tossed at an initial velocity of 60 m/s at an angle of 10° with the ground. After 0.9…

A: The solution of above question is written below.

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3/min. If the radius of the base is 18…

A: Given,            Rain is falling into a cylindrical barrel at the rate of 20 cm3/min.…

Q: 3. If a person is running west in downtown Austin at 2.5 km/hr relative to the ground and from his…

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Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: A boat heads north across a river at a rate of 4 miles per hour. If the current is flowing east at a…

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Q: A particle travels in a circle of radius 12 m at a constant speed of 21 m/s. What is the magnitude…

A: Given: A particle travels in a circle of radius 12 m at a constant speed of 21 m/s Therefore, speed…

Q: The velocity function (in meters per second) is given for a particle moving along a line.

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Q: A passenger is traveling on a luxury train that is moving west at 80 mph (miles per hour). While…

A: A passenger is travelling on a luxury train that is moving west at 80mph . While running the…

Q: The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate…

A: Given that  The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute.…

Q: A body has a mass of 11 kg falls freely from rest. After falling 553 m, what will its velocity be…

A: There are two methods for calculating the velocity.In first method by using the equation of motion…

Q: A fish is reeled in at a rate of 1 foot per second from a bridge 15 ft. above the water. At what…

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Q: A parachutist of mass 52.4 kg jumps out of a stationary hot air balloon. Use the equation in photo…

A: Introduction: When an equation is given, we can determine the function value by putting different…

Q: A projectile is fired from the origin over horizontal ground at an initial speed of 500 m/sec and a…

A: formula used: r=v0cosαti+v0sinαt-12gt2j   it is given that, v0=500α=60°g=9.8t=10

Q: What is the velocity of an object falling from 6m high cliff?

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Q: What is the ideal speed to take a 75 m radius curve banked at a 40.0° angle? m/s

A: Given,

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3 /min. If the radius of the base is…

A:

Q: A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec. Assuming…

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Q: What is the area of the largest triangle in the first quadrant with two sides on the axes and the…

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Q: What is the displacement of an object that travels at a constant velocity of 10 mi/hr for a half…

A: Consider the given information 10mihr for a half hour and  20mihr for a next half hour and 30mihr…

Q: A ball is shot from the ground straight up into the air with initial velocity of 40 ft/sec. Assuming…

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Q: The sides of the square are increasing at a rate of 3 cm per second . When the sides are 5cm long ,…

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Q: A ball is shot straight up into the air with initial velocity of 47 ft/sec. Assuming that the air…

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Q: The altitude of a certain circular cone is the same as the radius of the base, and is measured as 5…

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Q: The lengths of the edges of a cube are increasing at a rate of 8 ft/min. At what rate is the surface…

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Q: A steel ball of mass 4 kg is dropped from a building. If the air resistance is equal to 0.371v, what…

A: Mass of ball m=4 kg Air Resistance =0.371v Now, the formula to find  velocity of ball at time t is:…

Q: What constant acceleration is required to increase the speedof a car from 30 mih to 50 mih in 5 s?

A: Given: u=30 mihour, v=50 mihour, t=5 second for finding acceleration, first we convert given…

Q: A baseball diamond is a square with with side 90 feet (between the bases). A batter hits the ball…

A: Roughly draw the situation first Where x= Distance covered by batter at time t D= Distance of the…

Q: A ceiling fan has blades 61.0 cm long. What is the linear velocity of the tip of a blade when the…

A: Given the speed of the fan is : 8.50 revolutions per second⇒Angular velocity of the fan (ω)=8.50…

Q: ball is shot from the ground straight up into the air with initial velocity of 47 ft/sec. Assuming…

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Q: A ball is shot from the ground straight up into the all velocity of 48 ft/sec. Assuming that the air…

A: Given that  Initial velocity=48 ft/sec To find How high does the ball goes.

Q: A ball is shot from the ground straight up into the air with initial velocity of 43 ft/sec. Assuming…

A: To find the height  ball goes up to.

Q: A 90 kg man lying on a surface of negligible friction shoves a 81 g stone away from himself, giving…

A: Explanation of the answer is as follows

Q: What constant acceleration will bring an automobile traveling 60 mph to rest in 160 feet?

A: Explained below

Q: A ball is shot straight up into the air with initial velocity of 49 ft/sec. Assuming that the air…

A: See the details solution in below

Q: 2. Air is leaking from a spherical-shaped advertising balloon at the rate of 26 cubic feet per…

A: Let r be the radius and v be the volume of balloon, Given dvdt=26 cf/minuteswe know…

Q: A ball is shot from the ground straight up into the air with initial velocity of 41 ft/sec. Assuming…

A: Explained below

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3/min. If the radius of the base is 18…

A:

Q: When a bullet is fired into a sand bank, its retardation is assumed equal to the square root of its…

A: Given is the retardation equal to square root of velocity. WE need to find time t it will take to…

Q: A cannon is fired at an angle of 75° with the ground at an initial velocity of 250 m/s. Calculate…

A: To find the speed

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.