When a body moves in a projectile motion we can use equations of motion with constant acceleration to find values like time of flight, range of projectile, maximum height reached.
Calculation and explanation is shown below.
LEARN MORE REMARKS This example emphasizes the independence of the x- and y components in projectile...
-40 m/s in steps of -10 m/s every second; hence, approximately 8 seconds elapse during the motion. The velocity acceleration in the horizontal direction is zero. Therefore, the displacement of the ball in the r-di given by the equation,ax vort (20 m/s)(8 s) = 160 m. vector constantly changes direction, but the horizontal velocity never changes because the LEARN MORE REMARKS problems This example emphasizes the independence of the x- and y-components in projectile motion QUESTION How does the magnitude...
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 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...
(20 points) The horizontal and vertical components of the initial velocity of a golf ball are 60.4 m/s and 72.0 m/s respectively. A) Sketch the motion of the ball and draw a motion diagram for the vertical and horizontal components of the motion. B) List all known variable and their values. C) If there is no air resistance, how long does it take the ball to reach the top of its trajectory? D) Whatisthemaximumheightiftheballstartedatgroundlevel? E) How far down the field...
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...
PRACTICE IT Use the worked example above to help you solve this problem. A ball is thrown upward from the top of a building at an angle of 30.00 to the horizontal and with an initial speed of 19.0 m/s. The point of release is h = 46.0 m above the ground. (a) How long does it take for the ball to hit the ground? 4.183 (b) Find the ball's speed at impact. 35.532 m/s (c) Find the horizontal range...
7. 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 form their camp. b)...
6. 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 form their camp. b)...
5. 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 form their camp. b)...
4. 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 form their camp. b)...