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Question 9 (1 point) You are given a velocity's vertical and horizontal components. Which trig function...
(1) (1 point) Write the vector form of velocity a function of v0, θ, t for...
(1) (1 point) Write the vector form of velocity a function of
v0, θ, t for when the projectile is in flight (before it hits the
ground).
(2) (1 point) Write the down horizontal and vertical
displacements as a function of t, v0, θ.
(3) (1 point) Give the expression for time of flight as a
function of v0, θ, φ. (Hint: use previous results and tan(φ) =
y/x)
(4) (1 point) Give the expression for distance travelled along
the...
(f) (1 point) Using values v0 = 10 m/s, θ = 45◦ , φ = −12◦...
(f) (1 point) Using values v0 = 10 m/s, θ = 45◦ , φ = −12◦ ,
find r.
(g) (1 point (bonus)) For the case where φ = 0◦ (flat ground),
give the simplified expressions for horizontal displacement and
time of flight. Disregard the numerical values from previous
part.
2" (6 points) A projectile is launched with initial velocity vo at angle θ above horizontal The ground is sloped at angle φ w.rt. horizontal, where φ < θ 0
1. The position function of a projectile is given by: r(t) = (5.0 t +...
1. The position function of a projectile is given by: r(t) = (5.0 t + 6.0 t2) m i + (30 – t3) m j From what height above the ground was the projectile launched? What is the displacement of the particle in magnitude angle form at t = 2.0 s? What is the time taken for the projectile to land on the ground? What is the horizontal displacement of the projectile when it lands on the ground? What...
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal...
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal direction and with an initial speed of 10 m/s. s0 (A) How do the vertical and horizontal components of the projectile's velocity vary with time? 40 35 (B) How long does it remain in flight? 25 (C) For a given launch speed, what launch angle produces the longest time of flight? 15 10 toy CONCEPTUALIZE Consider the projectile to be a point mass that...
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal...
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal direction and with an initial speed of 40 m/s. (A) How do the vertical and horizontal components of the projectile's velocity vary with time? (B) How long does it remain in flight? (C) For a given launch speed, what launch angle produces the longest time of flight? CONCEPTUALIZE Consider the projectile to be a point mass that starts with an initial velocity, upward and...
A metal marble is launched with a speed of v0 = 30.0m/s at 5.0 ◦ relative to the horizontal, from a height of 1.0 m above ground, and towards a very tall vertical wall, which is 6.0 m away from the la...
A metal marble is launched with a speed of v0 = 30.0m/s at 5.0 ◦ relative to the horizontal, from a height of 1.0 m above ground, and towards a very tall vertical wall, which is 6.0 m away from the launch position. The projectile may first hit the wall, or the ground. Whichever it turns out to be, assume that this is an elastic, specular collision, so that the projectile bounces off. After some time, the projectile will have...
show work round 0.0001 Question 6 (1 point) You throw a stone at a certain angle...
show work round 0.0001
Question 6 (1 point) You throw a stone at a certain angle with ground with velocity of V m/s. Total flight time is measured 4.35 sec and range is measured 166.96 m. Find projectile velocity V? Use g=10 m/s2 Your Answer: Answer units Question 7 (0.5 points) You throw a stone vertically upward from the roof of an 31 m tall building with a velocity of 50 m/s. How long after the stone will land the...
(1 point) A stone is thrown from a rooftop at time t 0 seconds. Its position at time t (the components are measured in meters) is given by r()-бі-50+ (24.5-49:2) k. The origin is at the base of...
(1 point) A stone is thrown from a rooftop at time t 0 seconds. Its position at time t (the components are measured in meters) is given by r()-бі-50+ (24.5-49:2) k. The origin is at the base of the bulding, which is standing on flat ground. Distance is measured in meters. The vector i points east,j points north, and k points up. (a) How high is the rooftop? meters. (b) When does the stone hit the ground? seconds (c) Where...
1. A train at a constant 62.0 km/h moves east for 32.0 min, then in a...
1. A train at a constant 62.0 km/h moves east for 32.0 min, then in a direction 46.0° east of due north for 29.0 min, and then west for 42.0 min. What are the (a) magnitude and (b) angle (relative to east) of its average velocity during this trip? 2. A cart is propelled over an XX plane with acceleration components ax 5.5 m/s2 and ay = -2.3 m/s. Its initial velocity has components vox = 9.3 m/s and voy...
7. Do the projectile motion General Motion with Unit Vectors and Components An object undergoes the...
7. Do the projectile motion
General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker...
(1) (1 point) Write the vector form of velocity a function of
v0, θ, t for when the projectile is in flight (before it hits the
ground).
(2) (1 point) Write the down horizontal and vertical
displacements as a function of t, v0, θ.
(3) (1 point) Give the expression for time of flight as a
function of v0, θ, φ. (Hint: use previous results and tan(φ) =
y/x)
(4) (1 point) Give the expression for distance travelled along
the...
(f) (1 point) Using values v0 = 10 m/s, θ = 45◦ , φ = −12◦ ,
find r.
(g) (1 point (bonus)) For the case where φ = 0◦ (flat ground),
give the simplified expressions for horizontal displacement and
time of flight. Disregard the numerical values from previous
part.
2" (6 points) A projectile is launched with initial velocity vo at angle θ above horizontal The ground is sloped at angle φ w.rt. horizontal, where φ < θ 0
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal direction and with an initial speed of 10 m/s. s0 (A) How do the vertical and horizontal components of the projectile's velocity vary with time? 40 35 (B) How long does it remain in flight? 25 (C) For a given launch speed, what launch angle produces the longest time of flight? 15 10 toy CONCEPTUALIZE Consider the projectile to be a point mass that...
show work round 0.0001
Question 6 (1 point) You throw a stone at a certain angle with ground with velocity of V m/s. Total flight time is measured 4.35 sec and range is measured 166.96 m. Find projectile velocity V? Use g=10 m/s2 Your Answer: Answer units Question 7 (0.5 points) You throw a stone vertically upward from the roof of an 31 m tall building with a velocity of 50 m/s. How long after the stone will land the...
(1 point) A stone is thrown from a rooftop at time t 0 seconds. Its position at time t (the components are measured in meters) is given by r()-бі-50+ (24.5-49:2) k. The origin is at the base of the bulding, which is standing on flat ground. Distance is measured in meters. The vector i points east,j points north, and k points up. (a) How high is the rooftop? meters. (b) When does the stone hit the ground? seconds (c) Where...
1. A train at a constant 62.0 km/h moves east for 32.0 min, then in a direction 46.0° east of due north for 29.0 min, and then west for 42.0 min. What are the (a) magnitude and (b) angle (relative to east) of its average velocity during this trip? 2. A cart is propelled over an XX plane with acceleration components ax 5.5 m/s2 and ay = -2.3 m/s. Its initial velocity has components vox = 9.3 m/s and voy...
7. Do the projectile motion
General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker...
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