An object is projected upward from ground level at an angle (Theta) and the air resistance is negligible. If the initial​ velocity, v0​, of the object is given in​ ft/sec and time t is measured in​ seconds, then the formulas for the​ object's height h and the horizontal distance traveled​ (the range) d after t seconds into flight are as follows. h= V0 t sin (Theta) - 16t2                 d = tv0 cos (Theta)  If (Theta) = 30 (Degrees) and the initial velocity is 140 ft/sec what is the following? ​(a) The​ object's maximum height. ​(b) The​ object's range.

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A: Coordinates of space shuttle are given: x - coordinate (x) = 7t3…

Q: A student drove to the university from her home and noted that the odometer reading of her car…

A: Given Data :odometer reading d = 19.5 kmtime taken in this trip t = 20.3 min = 0.3383333…

Q: A car moves along a horizonatal road with constant velocityv0 = v0, x^ii = (30.06 m/s)^i   until it…

A: The objective of the question is to find the average acceleration of the car during the given time…

Q: A car is traveling around a circular track of 720-ft radius. If the magnitude of its total…

A:

Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

A: We are authorized to answer only one question at a time, since you have not mentioned which one…

Q: The acceleration of a vehicle can be represented by the following equation : ( dVldt = 2 - 0.05 V ),…

A:

Q: The displacement of a particle is given by s = 2t3 - 48t2 + 100t - 69 where s is in feet and t is in…

A:

Q: A go The horizontal distance x from the starting point and the height y above the ground of the…

A: Given:- The initial velocity of the golf ball v0 = 66 m/s  The angle of the projectile is θ=27o with…

Q: in the Cartesian coordinate system, a particles in X-position is defined by x = 8 t ft, where the…

A:

Q: The displacement of a particle is given by s=4t³-67t2+103t-66 where s is in feet and t is in…

A: The displacement of the particle is given by, s=4t3-67t2+103t-66. TO DETERMINE: (a) The displacement…

Q: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion—Felis…

A: Given Maximum height H = 12 ft = 12 × 0.3     = 3.6 m

Q: Problem 1: An object is thrown off the top of a 6.2-m tall building with a velocity of 2.9 m/s at an…

A: When an object is thrown obliquely near the Earth's surface, it moves in a curved path. The object…

Q: In a projectile motion, is the range of a projectile directly proportional to its initial velocity…

A: From the expression of range  R =( Vi cosθ) t Where Vi cosθ is the x component of initial velocity.

Q: A student drove to campus from her home and noted that the odometer reading of her car increased by…

A: Given: Total distance between home to campus d = 12.0 km. Time taken to reach campus t = 18 min. =…

Q: An object is descending toward the Planet X's surface (disregard air resistance). Its height is…

A:

Q: 390 m/s due west at one moment and 450m/s due north 10.0 s later. Find the plane’s average…

A: We know that An airplane is flying 390 m/s due west at one moment and 450m/s due north 10.0 s later.…

Q: The position vector 7 = (3.50t)î + (et + ft²) locates a particle as a function of time t. Vector is…

A:

Q: A ball is thrown from an initial height of 3.8 m above the ground. The initial speed is 18.6 m/s at…

A: Given data: Initial height, h=3.8 m Initial speed of the ball, u=18.6 m/s Angle at which the ball…

Q: A kangaroo jumped over a fence, because the grass was literally greener on the other side. What was…

A: The kangaroo jumps under acceleration due to gravity(g) which is downward.

Q: The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t…

A: Given data: Velocity of particle, v=23t2-110t+52

Q: An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2.  (Assume…

A: Given,x(t) = -200 ((t+1)-1)+6t2t = 3 s

Q: Problem 1: An object is thrown off the top of a building with velocity 26 m/s at an angle of 35°…

A: Given data: Initial velocity of object, u=26 m/s Angle from the horizontal, θ=35o Time of flight,…

Q: A placekicker is about to kick a field goal. The ball is 20.1 m from the goalpost. The ball is…

A:

Q: A particle travels along a straight-line path (y 1.7 x). If the x component of the particles…

A:

Q: In reaching her destination, a backpacker walks with an average velocity of 1.18 m/s, due west. This…

A: Suppose x is the distance the backpacker moved with velocity 0.717m/s, then the total displacement…

Q: At time t = 0, the position vector of a particle moving in the x-y plane is r = 5.80i m. By time t =…

A:

Q: The horizontal distance traveled by a ball moving with initial velocity v0 is x = v0,xt  where v0,x…

A:

Q: The displacement of a particle is given by s = 3t° - 42t2 + 109t - 39 where s is in feet and t is in…

A: Given:  The displacement of the particle (s) is s=3t3-42t2+109t-39 The rate of change of…

Q: The x-coordinate of a particle in curvilinear motion is given by x = 6.0t³ - 2.9t where x is in feet…

A:

Q: The x-coordinate of a particle in curvilinear motion is given by x = 2.4t3 - 4.3t where x is in feet…

A: Given:- The x coordinate of a particle in curvilinear motion is given by  x= 2.4t3-4.3t where x is…

Q: The x-coordinate of a particle in curvilinear motion is given by x= 2.3r- 2.0t where x is in feet…

A: The x-component of a curvilinear motion is given by the equation,x(t)=2.3t3-2.0ty-component of…

Q: The acceleration of a particle is given by a- 4t- 37, where a is in meters per second squared and…

A: Given Data The acceleration of a particle is a=4t-37 m/s2.  The initial displacement at t=0 is so=9…

Q: The vertical displacement (in m) of a plane is  1.5 t2 up; t is the time (in s) after takeoff. The…

A: Given, the vertical displacement (in m) of a plane is y=1.5 t2 up; t is the time (in s) after…

Q: 5. A particle moves counterclockwise on a circular path of 400 ft radius. It starts from a fixed…

A: The diagram below depicts the given situation.

Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…

A:

Q: The figure here shows the speed v versus height y of a ball tossed directly upward, along a y axis.…

A: Given : d = 0.37 m vB = vA/3

Q: When chasing a hare along a flat stretch of ground, a greyhound leaps into the air at a speed of…

A: speed = v=12.1 m/s angle θ=27.0° above the horizontal

Q: A car is 2.52 km west of a traffic light at t = 0 and 4.28 km east of the light at t = 6.00 min.…

A: Given: at t=0 , car is at 2.52 km west of traffic light at t=6.0 min, car is at 4.28 km east of…

Projectile Motion