In the given question as follows, assume the accleration of the object is a(t)= 32 feet per second per second. (Neglect air resistance.) A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 60 feet per second. How high will the ball go?

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

A:

Q: The side of an equilateral triangle is increasing at a rate of 2 m/sec, then the rate at which its…

A:

Q: Assume the accleration of the object is a(t) = −32 feet per second per second. (Neglect air…

A:

Q: The speed, s, of an accelerating object moving on a strait line is given by the formula: s = so +…

A: The initial speed is 10 m/s and the speed at time t is 16 m/s, so s0=10 m/s and s=16m/s. The time…

Q: A ball having mass m falls from a tower with heigh h from the ground. The velocity of the ball…

A:

Q: The skid marks made by an automobile indicated that its brakes were fully applied for a distance of…

A: Given  final velocity=v=0 msdeceleration=a=20ms2Distance cover by the car before  come to stopy=75…

Q: . According to Poiseuille's law, the resistance to the flow of blood offered by a cylindrical blood…

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

Q: With what initial velocity must an object be thrown upward (from a height of 3 meters) to reach a…

A: Given , S= 150-3            S= 147 m            a = -9.8 m/s2

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = and the initial…

A:

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = and the initial…

A: Givena(t) = <3,9t,et>

Q: A 80-kg cyclist on a 19-kg bicycle starts coasting on level ground at 30 m/sec. Use v = vo e (-k/m)t…

A:

Q: d. Without doing any computations, what do you expect to be the instantaneous velocity of the ball…

A: Since   s(t) = 64 - 16(t - 1)² As we can see that at t = 1 , the above quadratic equation has its…

Q: |21. If a ball is projected upward from the ground with initial velocity vo and resistance…

A: Resistance is proportional to v2 hence, resistance = -ρv2

Q: With what initial velocity v0 must we fire a rocket so it attains a maximum height r above the…

A: We will use the maximum height formula Where u=initial velocity. g=gravity H_max= maximum height

Q: The acceleration of a particle at time t is given by a(t) = 4e2t¸ If the initial velocity was 5, and…

A: We will use integration to first find the velocity and then integrate velocity function to find…

Q: Given the graph of the positive velocity of an object moving alonga line, what is the geometrical…

A: Given the velocity graph of an object moving along a line in the time interval [a,b], its…

Q: Show that the displacement after time t for motion in a straight line with constant acceleration a,…

A: Given Data: The constant acceleration is: a The initial velocity is: v0 The initial displacement is:…

Q: Suppose the length of rod, L = 50 cm is immersed in steam until its temperature is throughout u, =…

A:

Q: s(t)%3D512 +t3 :-

A: Given information: st=5t2+t3 Find the velocity at -2.

Q: Suppose an object in motion has the given acceleration function. a(t) = 2t m/s? Furthermore,…

A: To determine the velocity of the object.

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

A:

Q: Suppose a particle’s position is given by f (t) = −2 / t, where t is measured in seconds and f (t)…

A: Given: ft=-2t

Q: The owner of a local hot dog stand has estimated that if he lowers the price of hot dogs from $2.00…

A: The demand for hot dogs is

Q: The increased availability of light materials with high strength has revolutionized the design and…

A: We have to find out, Critical value in appropriate hypothesis test.

Q: If 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to…

A: let L is the natural length (actual length) of the spring. Now if the force (f) produces…

Q: A bus is cruising at 40 miles per hour when suddenly the driver notices a deer on the road ahead of…

A: We need to find the stopping distance from the given information.Let s be the stopping distance.

Q: 2. A plane travels 560 km from Los Angeles to San Francisco in 1 hour (h). If the plane's velocity…

A:

Q: A baseball player throws a ball straight up into the air. At a height of 3.4 m above the release…

A:

Q: A sailboat is running along a straight course with thewind providing a constant forward force of 50…

A: Given: A sailboat is running along a straight course with thewind providing a constant forward force…

Q: Given the function s(t)= -16t2 + 128t, what is the average velocity at time interval [1,2]? Then…

A: The given function is,

Q: The temperature in Vancouver was 8◦C at 6 am and rose to 20◦C at noon. Which assumption about…

A: Temperature is a continuous function.  We can write the temperature(T) as a function of time(t).…

Q: A car travels in a straight line.  It increases its speed from 22 m/s to 28 m/s with a constant…

A: Since distance formula for constant acceleration is  v2=u2+2ax where v is final velocity, u is…

Q: (2.4) What is the height of the ball when its velocity is one-half the initial velocity?

A:

Q: A mass-spring system is subjected to a single external force F (t) = sin (t), which acts for 0≤t≤2π…

A: Given mass-spring system is subjected to a single external force F (t) = sin (t), which acts for…

Q: Assume a particle's position is given by f(t)=3/t,where t is measured in seconds and f(t) is given…

A: Assume a particle's position is given by ft=3t ,where t is measured in seconds and ft is given in…

Q: With what initial velocity must an object be thrown upward from a height of 8 feet to reach a…

A:

Q: Suppose the centripetal acceleration of a particle moving in a circle is a = where v is the velocity…

A: a = v2/r find the error in acceleration  in velocity error given = 4% radius error = 2% error…

Q: Given the acceleration of an object and its initial velocity, how doyou find the velocity of the…

A: We know that the rate of change of velocity of a moving particle is known as its acceleration. Let…

Q: An automotive engineer subjects a large number of brake pads to a stress test and measures the wear…

A:

Q: A mass-spring system is subjected to a single external force F (t) = sin (t), which acts for 0≤t≤2π…

A: Given a mass-spring system is subjected to a single external force F (t) = sin (t), which acts for…

Q: Suppose that a motorboat is moving at 40 ft/s when its motor suddenly quits, and that 10 s later the…

A:

Q: The brakes of a car are applied when it is moving at 100km/h and provide a constant deceleration of…

A:

Q: A particle that moves along a straight line has velocity v(t) = t?e meters per second after t…

A: The displacement -velocity -time equation is given by, dsdt=v(t) The displacement during the first t…

Q: What constant acceleration is required (a) to move a particle 50 ft in 5 sec; (b) to slow a particle…

A:

Q: If the basketball hoop is 10 feet high and located 15 feet away, what initial velocity v should the…

A: It is given that the basketball hoop it 10 feet high and located 15 feet away.

Q: 2- Use Lagrange interpolation formula to determine the relation between the velocity of the rocket…

A:

Q: To estimate the speed whent = 1, we need to estimate vave = 51.28 - 1.86h when h approaches This…

A: The objective is to solve .

Q: Suppose that a turtle is moving along a straight line, and its displacement s(t) at any given time t…

A: Given data: The expression for the displacement is s(t)=(t-√(t2+3)+√3). The given interval is [a,…

Q: Two cars are traveling along a straight-line in the same direction, the lead car at 25.0 m/s and the…

A: Consider the given: Initial Speed of the lead car (uL)=25.0 m/sFinal Speed of the lead car (vL)=0…

Q: A spring is stretched 12 inches by a 24-pound weight. If the weight is pulled 10 inches below the…

A: