Which of the following plot represents the velocity of the projectile along the vertical axis, Vy? Consider that the projectile was launched at some angle, say 45 degrees, above the horizontal.
Q: Show that the maximum horizontal distance for a projectile can be attained when the angle is 45…
A: Consider a projectile is launched at an angle of θ with a velocity of v0. The maximum horizontal…
Q: ots a ball, giving it a velocity of 100 ft/s at 40 degree angle to the horizontal. One second after…
A: GivenInitial velocity of ball, u=100 ft/sAngle with horizontal, θ=40°
Q: Derive the formula for the horizontal range, R of a projectile having an initial speed Vo and an…
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Q: A projectile is fired from point A with an initial velocity v0. (a) Show that the radius of…
A: In the given figure,
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Q: A projectile starts from the origin with initial velocity vector v, which makes an angle the…
A: Magnitude of velocity and kinetic energy is minimum at the highest point since vertical component of…
Q: Keeping the angle of projectile constant, the velocity of projection is double. What is the effect…
A: The equation for the horizontal range is given by
Q: Why Projectile motion is always confined to a vertical plane determined by the direction of the…
A: Solution: The projectile motion emphasizes one important aspect of constant acceleration that even…
Q: A placekicker is attempting to make a 59-yard field goal. If the launch angle of the football is…
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Q: If the horizontal component of a projectile's initial velocity is 5 m/s, after 4 seconds it will be:
A: In projectile motion horizontal component of velocity don't have acceleration so from equation of…
Q: A bullet is fired from the ground with an initial velocity of 50 m/s that makes with the horizontal…
A:
Q: A firefighter, a distance of d from a burning building, directs a stream of water from a fire hose…
A: Horizontal component of displacement is xf=vxit=vicosθ1t Time t needed to cover a distance d is…
Q: Compute for the range of the projectile Given: initial velocity= 15m/s Angle: 0°…
A: Initial velocity of projectile (u) = 15 msLaunch angle (θ) = 0oTo find : The range of the projectile…
Q: What is the range of a projectile if the initial is 30 m/s at an angle of 300 from the horizontal?
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Q: A stone is thrown with an initial velocity of 2000 cm/s at an angle 15° above the horizontal,…
A: Angle, A = 15 degree velocity, v = 2000 cm/s = 20 m/s
Q: Consider a projectile fired with an initial velocity perpendicular to an incline sloping downward at…
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Q: In the two-dimensional motion, what is the magnitude of the y component of the velocity of the…
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Q: An airplane has been directed to fly in a clockwise circle, as seen from above, at constant speed…
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Q: Consider a projectile with an initial velocity vector given by the following. m m i = 20i+ 35 ") %3D…
A: Given: The velocity of the projectile is v=20 m/si^+35 m/sj^. The time interval is 1.5 s.
Q: What is the angle with respect to the ground at which you throw a projectile, with constant gravity…
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Q: the vertical component for a projectile with angle inclined on the horizontal during time of flight…
A: In projectile motion, the vertical component of acceleration is not zero but equals to g,…
Q: A cannon is fired at an angle of 48° with the horizontal. If the cannonball has an initial velocity…
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Q: Suppose a projectile is launched at an angle of 60° above the horizontal. If the initia speed of the…
A: Given Angle =60° Projectile speed=v= 200 ft/ sec Acceleration due to gravity =32 ft/sec² Let x,y…
Q: Examine the points (A-D) on the trajectory plane cho
A: Tension will be maximum at C
Q: Why an angle of 45 degrees gives the largest range possible in case of projectile motion
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Q: The magnitude of the velocity of a projectile remains constant. Is it correct?
A: For a projectile, the horizontal velocity always remains constant due to absence of any acceleration…
Q: A stone is thrown horizontally from the top of an incline that makes an angle e with the horizontal.…
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Q: In the horizontal shooting test, if the height of the ball ejected from the assembly is y = 0.25m…
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Q: A placekicker is attempting to make a 64-yard field goal. If the launch angle of the football is…
A: It is given that, R=64 yd=58.52 mθ=40o
Q: What relation exists between the range covered by two projectiles thrown up with the same initial…
A: The range of a projectile is given by R=u2 sin 2θg (1) where u=initial…
Q: Mr. Mangan is flying due north with a velocity of 150 m/s relative to the ground, into a west-bound…
A: Given Data: Velocity in North direction is Vn=150 m/s Velocity in West direction is Vw=80 m/s
Q: What is the range of a projectile if the initial velocity is 30 m/s at an angle of 30° with the…
A: Initial velocity (v) = 30 m/s Launching angle (theta) = 30°
Q: If you double the initial speed of a projectile, what happens to that projectiles range? Assume that…
A: Write the relationship between the projectile range and its initial speed. d=v2sin2θg
Q: why is the projectile motion in 2 directions can be studied as a combination of 2 one directions?
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Q: A ballistic rocket is fired with a speed equal to its escape velocity, so its trajectory is a…
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Q: The figure shows a projectile thrown horizontally from 40m high. If the initial horizontal speed of…
A: Given: The initial horizontal speed, ux = 20 m/s, g = 10 m/s2
Q: The helicopter is tracked by radar. The readings at a certain instant are R = 2500m, 0 = 35°, and è…
A: deriving the velocity vector equation in polar form er=∂r→∂r∂r→∂rr→=xi^+yj^=r cosθ i^+rcosθ…
Q: Find the launch angle for which the range and maximum height of a projectile are the same
A: maximum height of projectiles = range of projectiles are equal
Q: Given the position vector ~r(t) = t^2ˆi+tˆj in meters, what is the magnitude of the velocity vector…
A: The velocity vector is calculated by taking the derivative of given position vector r(t).
Q: At what point in its path is the vertical component of the velocity (vy) of a projectile the…
A: whenever a projectile is thrown with some initial velocity , its velocity vector can be splitted…
Q: What is the inclination of a projectile if the maximum height attained is equal to the corresponding…
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Q: A ball is projected with velocity 10 m/sec at angle of 30° with the horizontal surface. The range of…
A: Given Ball velocity, v0=10 m/s Projectile angle, θ=300 The range of a projectile is the horizontal…
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- What is the intial velocity in the y direction of a projectile?Which of the following plot represents the velocity of the projectile along the vertical axis, Vy? Consider that the projectile was launched at some angle, say 45 degrees, above the horizontal. * Vy F A В D E O AF. АВ. AE. DE. OC.A man was standing on one side of the roof of a building 145 meters above the ground and shot a projectile with O HO oti av. ta an initial speed of 53 m/s at an angle of 30° with the horizontal. Find: a) the time ( seconds) it took the projectile to hit the ground b) how far (meter) away from the base of the building did the projectile land? c) Find the vertical and horizontal components of the velocity (m/s) d) what is its velocity in m/s
- The marble is projected horizontally. If the initial velocity is Vo, what are the marbles initial vertical and horizontal components of the velocity?gun is fired on a level plane. The barrel is inclined at 38° from the horizontal and the 1.A muzzle "velocity" of the shell is 501 m/s. What is the horizontal range of the shell? Neglect GY ItsistarceKindly fill in the blanks. For a projectile lunched with an initial velocity of v0 at an angle of θ (between 0 and 90o): a) Derive the general expression for maximum height hmax and the horizontal range R. b) For what value of θ gives the highest maximum height? The components of v0 are expressed as follows: vinitial-x = v0cos(θ) vinitial-y = v0sin(θ)
- The horizontal range of a projectile fired into the air at angle degrees is given by the formula: 2xvxsin 0xcos R 9 m Create a worksheet that computes R for a selected initial velocity vo and angle 0. Use g = 9.81; 15, initial velocity vo 15°, 20°, 25°, ..., 90°. - m S 150 and 0 = 1. Use MAX() function to find the maximum value of R and show that value separately. 2. Create a graph of R versus in degrees.A projectile is fired with an initial velocity of 320m/s at an angle of 15o with the horizontal. a. Find the resultant of the velocity, in m/s, of the projectile after 10s. b. Find the direction, in deg, with respect to the horizontal, after 10s.A basketball is launched with an initial velocity Voat an angle 0 = 40° above the horizontal follows the trajectory shown in the figure. The ball enters the basket 0.6 s after it is launched. The horizontal distance '1' of the ball from it was launched to the pole is 4 m. Calculate the initial velocity v, of the ball.
- Neglecting frictional forces, the range of a projectile fired at an angle (degrees) above the horizontal with initial velocity Vo (feet per second) is given by R = v sin 20 32 Find and evaluate each of the π following (to 2 significant digits) when = radians and V₁ = 2000 feet per second, then interpret 36 its meaning: OR a. dvo b. ƏR 20A shooter aims horizontally at a target at the unknown distance d: the same height as the shooter with the initial bullet speed vo. Th bullet misses the target by the vertical distance h. What was the distance d? Calculate its numerical value for v0 = 1500 m/s and h=1.5 cm.A tennis player hits the tennis ball at a distance of 10 m from the net. The ball is hitat a height of 1.2 m above ground so that it starts moving with a velocity of 30 m/s ina horizontal direction (parallel to the ground). The height of the net is 90 cm. What is the angle the tennis player has to hit the ball so it will just clear thenet?