b) Suppose a ball is thrown downward with a speed of 8 meters per second from a height of 75 meters. Find the velocity of the ball at time to. Be sure to show all your work,

Q: An airplane heading due east has a velocity of 200 miles per hour. A wind is blowing from the north…

A: The velocity of the plane=200 mph  The wind hits the plane in the direction of south. so, the…

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

A:

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

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) =2t2 -t - 3, where…

A:

Q: A jet climbs at a steady rate at an angle of inclination of 0.5° during take-off. What will its…

A: Given that: Angle of inclination, ∅=0.5°Initial ascent = 2.2 km

Q: Suppose that a given moment, the radius of a right circular cylinder is 2 cm and increasing at a…

A:

Q: A vertical cylinder is leaking water at a rate of 3 m/sec. If the cylinder has a height of 10 m and…

A: The volume of the cylinder is given by V=πr2h, where V=volume of the cylinder r=radius of the…

Q: A man whose height is 1.5 m. is walking directly away from a lamp post at a constant rate of 0.8…

A:

Q: 1. A person throws a ball upward from the top of a building 80 ft from the ground. What should be…

A: TO FIND: Initial velocity

Q: A kite 30 m above the ground moves horizontally at a speed of 10 m/min. At what rate is the angle…

A:

Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to s = 112t -…

A:

Q: Zoologists studying the ecology of the Serengeti Plain estimate that the average adult cheetah can…

A:

Q: A baseball diamond has the shape of a square with sides 90 feet long, suppose the player is running…

A: It is given that a baseball diamond has the shape of square with side 90 feet long. Construct the…

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: A baseball diamond is a square with side 90ft. A batter runs toward first base at 25 feet per…

A: Assume x = distance batter has run at time t andD = distance from second base to the batter attime…

Q: A baseball diamond is a square whose sides are 90 ft long. Suppose that a player from asecond base…

A:

Q: 21. In basebalI, a batter stands 2 feet from home plate as a pitch is thrown with a velocity of 130…

A: Answer is mentioned below

Q: When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per…

A:

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

A:

Q: A volunteer rescue truck goes downhill to relocate families situated at the lowlands of Taal…

A: Given that the uniform speed of the truck is, v=3m/s Also given that the path is inclined at 35∘…

Q: Given the question: A tank shaped like a right circular inverted cone with radius 5 meters and…

A:

Q: pherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min. At…

A: The radius of the balloon decreases at the rate of =15 cm/min let radius of balloon =r then…

Q: A 500-g ball at the level ground is kicked at a velocity of 30 m/s at an angle 25 degrees from…

A:

Q: A motorcycle traveling at a speed of 34.0 mi/h needs a minimum of 44.0 ft to stop. If the same…

A: Stopping distance is given by the formula d=kv2

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 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 ladder 3.9 m long is placed in a vertical plane which is at right angle to the vertical wall, the…

A: Given :                     The height of the ladder = 3.9m                     Let x…

Q: A flying kite is 100 m above the ground, moving in a horizontal direction at a rate of 10 m/s. How…

A:

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

A:

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

A:

Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

Q: At noon a car starts from rest at point A and proceeds at constant acceleration along a straight…

A:

Q: a) When does the top of the ladder reach the ground? b) Determine the velocity of the end of the…

A:

Q: At noon a car starts from rest at point A and proceeds with constant acceleration along a straight…

A:

Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

A:

Q: The volume of a cube is increasing at the rate of 1200 cm3/min at the instant its edges are 20 cm…

A: Let the length of the sides of the cube = xAnd the volume of the cube = V = x^3

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 baseball diamond is a square with side 90 feet. A batter hits the ball and runs to first base with…

A: This question is based on application of  differentiation and Pythagoras theorem, We will solve it…

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance…

A: We need to find rate of distance changing.   ddθ(cscθ)=-csc(θ)cot(θ)

Q: A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At which rate is the angle…

A: Given,  Consider the height of the lite from the ground is 100 ft. The speed is dxdt=8 ft/s. To find…

Q: The volume of a cube is increasing at the rate of 1200 cm³ / min at the instant its edges are 20 cm…

A:

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

A:

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: On the moon, the acceleration due to gravity is 1.6 m/sec2. a) If a rock is dropped into a crevasse,…

A: a) The acceleration due to gravity on the moon is -1.6 m/sec2. Recall that the second derivative of…

Q: If a ball is thrown vertically upward and with an initial velocity of 10 m/s, it’s velocity at the…

A: To find: The velocity at the highest point reached by the stone. Given: The initial velocity of the…

Q: A baseball diamond is a square with side 90ft. A batter hits the ball and runs toward first base…

A:

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: A rocket is launched from an initial height of 50 feet from the ground. It has an initial upward…

A:

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.