An object is thrown in the air with vertical velocity of 20 ft/s and horizontal velocity of 15 ft/s. The object’s height can be described by the equation y (t) = −16t2+20t  while the object moves horizontally with constant velocity 15 ft/s. Write parametric equations for the object’s position, and then eliminate time to write height as a function of horizontal position. How did you arrive at your conclusion(s) for this problem? Use the graphical equation editor if necessary to express your answer.

Q: A car travels 12km due west, 15km due south and 45 km in a direction 50° north of east. Calculate…

A: Suppose given that Vector is R and it makes angle  with +x-axis, then it's components are given by:…

Q: Consider the following data for the table below: Projection Angle = 46.2° Range (Trial 1) = 1.11 m…

A:

Q: An object moving vertically is at the given heights at the specified times. Find the position…

A: At t = 1 s and s = 193 ft, equation becomes as follows: 193=12a12+v∘1+s∘193=a2+v∘+s∘…

Q: The instantaneous speed of a particle moving along one straight line is v(t) = ate"2t where the…

A:

Q: Consider the following data for the table below: • Projection Angle = 45.9° • Range (Trial 1) = 1.1…

A: Average range (A)= ( 1.1 + 1.11 + 1.12 ) / 3  Average range ( A ) = 1.11 m     Projection angle ( θ…

Q: 1. Unit vectors usually have a magnitude of 5. 2. The acceleration due to gravity in English unit is…

A: Answer:-  Answer (1) wrong  The magnitude of unit vector is 1 or unity.  Answer (2) wrong…

Q: how do i solve this problem ? step by step please

A:

Q: An object's position as a function of time is given by the expression; x(t) = 14.7/(t+1) + 2.9t3 -…

A:

Q: 3.37 The nose of an ultralight plane is pointed south, and its airspeed indicator shows 36 m/sm/s .…

A:

Q: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of…

A:

Q: During service, a tennis ball is struck at height h = 1.7 m above a tennis court and moves with…

A: The height is h=1.7 m The velocity formula is, v0=voxi The value of v0x = 28.5 m/s (a) The time…

Q: For each of the three pairs of positions listed in the following table, determine the magnitude and…

A: (a) Displacement = Final position - Initial position = (+6.3) – (+2.2)= +4.1 mThus, magnitude is…

Q: A ball is thrown at an initial height of 50 feet at an initial velocity of 65 feet/second at an…

A: The given values are, h0=50 ftV0=65 ft/sθ=75°y=-16t2+V0sinθt+h0x=V0cosθt

Q: Hearing rattles from a snake, you make two rapid displacements of magnitude 1.8m and 2.4m. In…

A: (a) Consider the figure below, both the displacements are in same direction hence resultant will be…

Q: A bird flying horizontally 100[m] above the ground flies exactly overhead with respect to an…

A:

Q: The 18th hole at Pebble Beach Golf Course is a dogleg to the left of length 496.0 m. The fairway off…

A: Displacement is the shortest distance between two fixed points .It is a vector quantity .

Q: For each of the three pairs of positions listed in the following table, determine the magnitude and…

A: (a) displacement = 4.5 m  (positive)  (b) displacement = - 4 m   (negative)  (c) displacement = 10.2…

Q: A particle moves in the x-y plane with a y-component of velocity in feet per second given by v, =…

A: Answer: Given Values,

Q: An object's position as a function of time is given by the expression; x(t) = 13.9/(t+1) + 2.2t3 -…

A: Average velocity=total displacementtotal time                   ......(1)

Q: v, sin 20, Q1) Show that R = for the range of a projectile on level ground by %3D finding the time t…

A: Analyze the diagram. Assume a projectile is launched with an initial velocity vo and an angle θo…

Q: A boy walks uniformly along the sides of a rectangular park with dimensions 400m x 300m, starting…

A: A boy walks uniformly along the sides of a rectangular park with dimensions 400m x 300m, starting…

Q: An object is launched directly in the air at a speed of 64 feet per second from a platform located…

A: Basic Details The equation for the distance as a function of time is provided. Differentiate the…

Q: A submarine dives from the water surface at an angle of 30° below the horizontal, following a…

A: To find how far is the submarine then below the water surface

Q: In order to feed the chicks, the mother hen gathers her food from a small pit, 10 m away from the…

A:

Q: For each of the three pairs of positions listed in the following table, determine the magnitude and…

A:

Q: A particle is moving along a line with position given by s(t)=t3−(9/2(t2 ))+6t−5 measured in meters,…

A:

Q: The position of an object as a function of time is given by r = (3.2t + 1.5t2)i + (1.7t -2.0t2)jm,…

A:

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:

Q: An object's position in the as a function of time obeys the equation; x (t) = 3t – 2t³ + 1.5t where…

A: Given displacement as function of time  Velocity is rate of change of displacement . Therefore…

Q: To determine the height of a bridge above the water, a student drops a coin and measures che time it…

A:

Q: A toy frog is initially at the origin of a Cartesian coordinate system. Upon leaping, its position…

A: Initially frog at the origin, with coordinates O(0,0,0) After a second it is at point P, P=(5…

Q: Suppose we are told that the acceleration a of a particle moving with uniform speed ν in a circle of…

A: We consider mass [M] , length [L] and time [T] as fundamental quantities . Hence, The dimension of…

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

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: Given: x=(18.0 m/s)ty=(4.0 m/s)t-(4.90 m/s2)t2

Q: At an air show, a jet plane has velocity components vx =695km/h and vy  =415km/h  at time 4.35 s and…

A: Given: The velocities are vx=695 km/h and vy =415 km/h at time 4.35 s and velocity vx'=938km/h and…

Q: The 18th hole at Pebble Beach Golf Course is a dogleg to the left of length 496.0 m. The fairway off…

A: Given Initial displacement is d1=(300.0 m)i Final displacement is d2=(172 m)i+(80.3 m) j

Q: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of i = (3.00 i…

A: Given that:at t=0, u→=(3.00 i^ - 2.00j^) m/sat t=2.00 sec, v→=(7.00 i^ + 8.20 j^) m/s Acceleration…

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: Write the given values, and determine the height at t=1 s. u=34 ft/sy=34t-14t2y1=341-1412=20 ft

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:

Q: An object is projected upward from ground level at an angle (Theta) and the air resistance is…

A:

Q: A particle’s velocity along the x-axis is described by v(x) = A x + B x2, where x is in meters, v is…

A:

Q: Consider the following data for the table below: • Projection Angle = 45.6° • Range (Trial 1) = 1.15…

A:

Q: For each of the three pairs of positions listed in the following table, determine the magnitude and…

A: Given Data: a) Initial position, x0=+2.5 m     Final position, x=+6.5 m b) Initial position, x0=+5.6…

Q: In a sport feast, a soccer ball is kicked from ground level over level ground with an initial…

A:

Q: A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The…

A:

Q: The path traveled by an object (neglecting air resistance) that is projected at an initial height of…

A:

Q: A ball is thrown from an initial height of 6 feet at a rate of 42 ft/s to someone standing on a roof…

A:

Projectile Motion