Exactly 3.0 s after a projectile is fired into the air from the ground, it is observed to have a velocity v = (8.6i + 4.8j) m/s, where the x axis is horizontal and the y axis is positive upward. Determine {a) the horizontal range of the projectile, (b) its maximum height above the ground, and (c) its speed and angle of motion just before it strikes the ground.
Q: A projectile is fired horizontally from a gun that is 32.0 m above flat ground, emerging from the…
A:
Q: Let the position vector (with its tail at the origin) of a moving particle be ~r(t) = t^(2)ˆi − 2tˆj…
A:
Q: A particle initially located at the origin has an acceleration of = 1.00ĵ m/s2 and an initial…
A: Here, it is given that, initial location of the particle: origin Initial velocity of the particle: 9…
Q: The velocity of a particle moving in the x-y plane is given by (7.480 +6.64) m/s at time t = 6.53s.…
A: The formula a = dv/dt could be used here to solve for the final velocity.
Q: A snowmobile is originally at the point with position vector 26.5 m at 95.0\deg counterclockwise…
A:
Q: Compute the magnitude and direction of the average velocity in the time interval between t = 0 and t…
A:
Q: The vector components of the position of a particle moving in the xy plane as a function of time are…
A: The vector component of position is given as: The position vector can be written as: We know, Thus…
Q: n the Superbowl, a quarterback throws a football while standing at the very center of the field on…
A: Consider the given data as below. Initial velocity, vo=40 i^+35 j^+32 k^ Assume upward as k^…
Q: A particle initially located at the origin has an acceleration of a - 2.00j m/s? and an initial…
A:
Q: Problem 3: A soccer ball is kicked from the ground at an angle of 0 = 53 degrees with respect to the…
A: Given, The launched angle of the soccer ball is θ = 530 ( with respect to the horizontal ) The…
Q: A projectile is launched at ground level with an initial velocity of 11.6 m/s at an angle of 31.0o…
A:
Q: A ball is kicked horizontally from the top of a building of height h towards the level ground below.…
A: As per guidelines, we should answer three subparts from multipart questions. Given, Height of the…
Q: An object is moving in the x direction at 1.3 m/s when it is subjected to an acceleration given by…
A: Here, the object is moving in the x direction. So, initial velocity when written in vector form is,…
Q: The velocity V of a particle moving in the xy plane is given by = ( 5.50 t- 5.00 )i + 9.00 j, with V…
A:
Q: From the window of a building, a ball is tossed from
A: Since you have posted question with o be multiple sub-parts,we will solve first three parts for you.…
Q: Find the x- and y-components of the vector d⃗ �→ = (4.0 kmkm , 29 degrees left of +y-axis). Find…
A:
Q: A rocket is launched from a level ground following the path given by y=x−x^3/90, where x is the…
A: Path of the Rocket is given by, y=x - x3/90 velocity vector , V'= Vxi +Vyj…
Q: Vector A has a magnitude of 3.2 m/s and vector B has a magnitude of 5.3 m/s. If you can change the…
A: Given data: Magnitude of vector (A) = 3.2 m/s Magnitude of vector (B) = 5.3 m/s Need to determine…
Q: A ball is thrown with initial velocity vo at an angle 00 = 45° above the horizontal, from the roof…
A: Given data, Angle of projection = 45o Horizontal range = 25 m Time of travel = 1.5 sec…
Q: The velocity v of a particle moving in the xy plane is given by v (5.4t – 41 )î + 9§, with V in…
A: Ko
Q: The acceleration of a particle is a = (5.00 i - 7.00 j) m/s^2. At t = 0, the particle leaves the…
A:
Q: A train at a constant 61.0 km/h moves east for 25.0 min, then in a direction 54.0\deg east of due…
A:
Q: Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ,…
A:
Q: The velocity V of a particle moving in the xy plane is given by 7 = ( 5.50 t - 5.00 7 )î + 9.00 3.…
A: According to question we need to find--- at which time the velocity of the object will be zero?
Q: A ball is shot from the ground into the air. At a height of 9.4 m, its velocity is = 7.71 +6.2 m/s,…
A:
Q: At t = 0, a stone is thrown at an angle of 35.0 ◦ above the horizontal with an initial speed equal…
A: The horizontal component of velocity do no change throughout the trajectories path. The horizontal…
Q: A golf ball is hit at an angle of 40° above horizontal with a speed of 55 m/s. (a) How high does it…
A: Given: a) high is 343.95 m b) 8.02 s long it is in the air c)…
Q: y the following expressions: x = (18.0 m/s)t y = (4.00 m/s)t – (4.90 m/s²)t² ) Express the position…
A: Velocity is the displacement per unit time v = ds/dt Acceleration is the rate of change of…
Q: In a computer game, an airplane starts at (1, 6) (in cm) on the curve y=5+(1.6t+1)^−1.3and moves…
A: Given that: Initial co ordinate (1,6) in cm y=5+(1.6t+1)-1.3 cm vx=1.6 cm/s
Q: If the initial velocity of a projectile has a magnitude of 28.562 m/s, with a direction angle of…
A:
Q: A fish swimming in a horizontal plane has velocity V, = (4.00 î + 1.00 j) m/s at a point in the…
A: In this question, given Initial velocity of the fish vi→=4i^+j^ ms-1 Velocity of the fish after t=15…
Q: At time t = 0, the position vector of a particle moving in the x-y plane is r = 4.62i m. By time t =…
A:
Q: A football is kicked at an angle of 73 degrees with a velocity of 20.0 m/s. Find: (a) the max…
A: Given data: A projectile motion of the football Angle (θ) = 73°, above the horizontal Initial…
Q: A boat moves so that its position vector, r metres, at time t seconds is given by r = 2t - i+ 2tj 10…
A:
Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…
A: Initial velocity (v) = 7.50 msAngle = 18o below horizontal Time taken to hit the ground = 5 seconds…
Q: A particle initially located at the origin has an acceleration of a = 1.00j m/s? and an initial…
A:
Q: An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°.…
A: (a) The horizontal component of the initial velocity is given as,
Q: A particle initially located at the origin has an acceleration of a = 4.00j m/s2 and an initial…
A: (a) Position of the particle is : r→f= ri→ +vit→ +12at2 =0+9t i^+ 12(4)t2 j^ = 9t i ^…
Q: A golf ball is hit upward, with an initial velocity of 47 meters per second, at an angle of 25° with…
A: Given that----- initial velocity v0 = 47 m/s angle = 23° height h = 8 m and the given equation are…
Exactly 3.0 s after a projectile is fired into the air from the ground, it is observed to have a velocity v = (8.6i + 4.8j) m/s, where the x axis is horizontal and the y axis is positive upward. Determine {a) the horizontal range of the projectile, (b) its maximum height above the ground, and (c) its speed and angle of motion just before it strikes the ground.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle 0 with respect to the horizontal. Let the building be 54.0 m tall, the initial horizontal velocity be 9.10 m/s, and the initial vertical velocity be 10.5 m/s. Choose your coordinates such that the positive y-axis is upward, and the x-axis is to the right, and the origin is at the point where the ball is released. (a) With these choices, find the ball's maximum height above the ground and the time it takes to reach the maximum height. maximum height above ground time to reach maximum height (b) Repeat your calculations choosing the origin at the base of the building. maximum height above ground time to reach maximum heightFrom the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 9.00 m/s and angle of 21.0° below the horizontal. It strikes the ground 4.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi = yi = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi, x = m/s vi, y = m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.) x = m y = m (d) How far horizontally from the base of the building does the ball strike the ground? m(e) Find the height from which the ball was thrown. m(f) How…A ferryboat is traveling in a direction 22.0° north of east with a speed of 3.16 m/s relative to the water. A passenger is walking with a velocity of 2.53 m/s due east relative to the boat. What is (a) the magnitude and (b) the direction of the velocity of the passenger with respect to the water? Give the directional angle relative to due east. (a) Number (b) Number i Units Units <
- If the initial velocity vector of a particle is vo 8i - 2j m/s, and after time t 5 s its v 2i+ 6j m/s,then find the acceleration vector a (in m/).Apply error propagation to determine the associated uncertainty in the average volume… PlzDetermine the vector magnitudes and directions for the relative velocities VA/B and VB/A, given these magnitudes and directions for the vectors VA and VB:(a) VA: magnitude 70km/h ; direction 30°VB: magnitude 50km/h ; direction 125° (b)VA: magnitude 70km/h ; direction 30°VB: magnitude 50km/h ; direction 225° (c) VA: magnitude 70km/h ; direction 30°VB: magnitude 50km/h ; direction 340° (d)VA: magnitude 70km/h ; direction 135°VB: magnitude 50km/h ; direction 60°NOTE: The direction is the angle (degrees) from the positive horizontal axes in an anticlockwise direction.
- The velocity vector of a particle is given by: V = Vje-)[sin(wt)i + cos(wt)j] where, Vo = 12.1 m/s; T = 2.5 s; w = 5.2 rad/s Calculate the magnitude of the acceleration (in m/s2) at t = 7.4 scomponent m/s and a y component of -15 m/s. The particle moves in the xy plane with an x component of acceleration only, given by a,= 4.0 m/s. (a) Determine the components of the velocity vector at any time and the total velocity vector at any time. (b) Calculate the velocity and speed of the particle at t=5.0sFrom the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.60 m/s and angle of 18.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0.) xi = yi = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi,x = m/s vi,y = m/s (c) Find the equations for the x- and y- components of the position as functions of time. (Use the following as necessary: y0 and t. Let the variable t be measured in seconds.) x = m y = m (d) How far horizontally from the base of the building does the ball strike the ground? m(e) Find the height from which the ball was thrown. m(f) How long does it take the ball to reach a point 10.0 m…
- A grasshopper leaps into the air from the edge of a vertical cliff, as shown in Figure. It is given that the angle 0=52° and the distances d=0.11 m, and x=2.04 m. 不 d h : Ꮎ Not to scale X (a) Find the initial speed (in m/s) of the grasshopper. (b) Find the height h (in m) of the cliff.From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.70 m/s and angle of 21.0° below the horizontal. It strikes the ground 4.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi = yi = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi, x = m/s vi, y = m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.) x = m y = m (d) How far horizontally from the base of the building does the ball strike the ground? m (e) Find the height from which the ball was thrown. m (f) How long does…The position r of a particle moving in an xy plane is given by ř seconds. In unit-vector notation, calculate (a) 7, (b) V , and (c) a for t = 3.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 3.00 s? Give your answer in the range of (-180°; 180°). (4.00r3 – 1.00t)î + (5.00 – 1.00r4)j with 7 in meters and t in (a) Number i i Units (b) Number ît i Units i (c) Number i i Units (d) Number i Units