A ball is projected with velocity u ⃗=(6i ̂+8j ̂ ) m/s. Then calculate (a) time of flight (b) range.
Q: The velocities of the particles at an instant are VA = 5m/s and VB = 7m/s, with the angle between…
A:
Q: The drawing shows an exaggerated view of a rifle that has been 'sighted in' for a 91.4-meter target.…
A:
Q: The vector position of a particle varies in time according to the expression 7(t)=(1.76 t + 1.56)7…
A: Given data: The equation of particle which varies in time is given as, The equation of velocity…
Q: A rock thrown straight up into the air has a velocity of y(t) = -9.8t + 20 meters per second after t…
A: Given data The velocity of the rock is yt=-9.8t+20 The duration of the rock is t = 2 s
Q: A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate…
A:
Q: A few seconds after a plane took off it was hit by a missile launched from a distance on the ground.…
A: Given, The path of plane, y=0.0005x2 The path of missile, y2=160x The missile velocity in the…
Q: An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In…
A:
Q: How far from the origin has the particle gone after 0.11 minutes if Vx = 3m/s , Vy = 2 m/s and Vz =…
A: Given: vx=3 m/svy = 2 m/svz = 3.31 m/st = 0.11 m
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: The position of a particle change is literally with time, I.e. as one power of t, as given by the…
A: Given : h(t) = (3.3 t + 6.3) meters
Q: A boy travels from A to B and then from B to C in a bicycle. The total displacement is 3m 90° (a) 7m…
A: Consider ABC as a triangle where, AC is the hypotenuse which also is the total displacement. Using…
Q: In case (a), the baseball player stands relatively stationary and throws the ball with the initial…
A: The given data are listed below with appropriate variables. Here, u denotes the ball’s initial…
Q: On a spacecraft, two engines are turned on for 841 s at a moment when the velocity of the craft has…
A:
Q: The velocity of a particle is given by v- [16t'i + 4t'j + (5t + 2)k) m/s, where t is in seconds. If…
A:
Q: An object moving horizontally approaches an edge of a cliff with the unknown speed v. What is the…
A:
Q: At a time t seconds, after it is thrown up in the air, a tomato is at a height (in meters) of…
A: According to question we need to find that tomato How long is the tomato in the air?
Q: The velocity V of a par ticle moving in the xy plane is given by 7 - ( 5.50 - 5.00 )+ 9.00 7, with V…
A:
Q: The Moon is about 3.8 ✕ 108 m from Earth. Traveling at the speed of light, 3.0 ✕ 108 m/s, how long…
A: Given: The distance of the moon from the earth is 3.8x108 m. The speed of the light is 3x108 m/s.
Q: Given the vector function r (t) = (t, 2t², 3t° + 5) Find the velocity and acceleration vectors at t…
A: r = <t, 2t 2 , -3t5 +5> v = dr/dt =<1, 4t, -15t 4> a = da/dt =<0, 4, -60t 3>
Q: (a) Find the velocity and position vectors as functions of time t. m/s = m (b) Find the equation of…
A: a) The particle’s velocity can be determined as, The particle’s velocity can be determined as,
Q: A projectile launches at an initial velocity of 55 m/s. Determine the length of time it will take…
A: Given data Initial velocity, vi=55 m/s Angle of projection, θ=300
Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…
A:
Q: Two particles A and B start from rest at the origin s=0 and move along a straight line such that aA…
A: To find the distance between particles A and B, we need to integrate their respective velocities…
Q: If a particle is moving on a path with the given equation y = 3t^2-t+5, find its rate at (2,1),…
A:
Q: The vector position of a 3.30 g particle moving in the xy plane varies in time according to r. = (31…
A: Given: m1 = 3.3 g r1 ⇀ = 3 t i^ +3 t + 2 t 2 j^ ⇒ v1 ⇀=dr1 ⇀dt = 3 i^ +3+ 4 t j^ ⇒ a1…
Q: The position of an electron is given by r = 4.57ti – 5.24rj +4.74k, with t in seconds and in meters.…
A: since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: Prove that, the range, R the time of flight, T and the Maximum height, H by a projectile are…
A:
Q: Suppose that a particle's position is described by r(t) = ti+ (t + 1) k. Find the velocity vector…
A:
Q: Sub-atomic particles A and B are moving in a 100-meter dash line in 10s. Particle A moves such that…
A:
Q: Each of four particles move along an x axis. Their coordinates (in meters) as functions of time (in…
A: Given data: The coordinates as functions of time are given particle 1: x(t) = 3.5 – 2.7t3 particle…
Q: An electron's position is given byr=4.0ti+5.0t] with t in seconds and rin meters. (a) In unit-vector…
A:
Q: Question 4: A particle is thrown into air with initial speed vo making angle 0 with the horizontal…
A: Here we are considering positive X-axis positive and positive Y-axis positive. horizontal component…
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: A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8…
A:
Q: 0, y 0) 44. A projectile is launched from the point (x QC with velocity (12.0î + 49.0 j) m/s, at t =…
A: Hey, since there are multiple questions posted, we will answer first question. If you want any…
Q: A particle is moving with the given data. Find the position of the particle. = 5 sin t – 2 cos t,…
A: Given: The acceleration is given as, at=5sint-2cost Positions are, s0=0s2π=4
Q: (a) A soccer player kicks a rock horizontally off a 33 m high cliff into a pool of water. If the…
A: Consider the rock is falling in the y axis.Use the equation,The time taken by sound to reach player…
Q: Q1(a) An object is shot at at 25 degree angle with a velocity of 5 m/s. What is the velocity in the…
A:
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: The equation r(t) = (/2t) i+ (V2t- 16t2) j is the position of a particle in space at time t. Find…
A: Velocity is given by dr/dt V= dr/dt = d{(√2t)i+(√2-16t²)j}/dt V= (√2)i + (√2 - 32 t)j Let V at t=0…
Q: A fireworks rocket explodes at a height of 42.0 m , producing fragments with velocities ranging from…
A: Initial velocity, Final velocity, Height, s = 42 m
Q: The drawing shows an exaggerated view of a rifle that has been 'sighted in' for a 91.4-meter target.…
A:
Step by step
Solved in 2 steps with 2 images
