As a projectile moves in its path, is there any point along the path where the velocity and acceleration vectors are parallel to each other? ( assume the object is thrown upward and forward, but not straight up.)
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- A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial velocity of vi=5.00im/s. Find (a) the vector position of the particle at any time t, (b) the velocity of the particle at any time t, (c) the coordinates of the particle at t = 2.00 s, and (d) the speed of the particle at t = 2.00 s.A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. Vo - ( mis) 7 + m/s) ? At the maximum height, the speed of the cannon ball is v= m/s and the magnitude of its acceleration is a- m/s?. The time needed to reach maximum height is t- S. The maximum height reached by the cannon ball is H= m.If the vector components of the position of a particle moving in the xy plane as a function of time are x = (2.8 m/s2)t2 and y = (6.4 m/s3)t3, at what time t is the angle between the particle's velocity and the x axis equal to 45°?
- A football player punts the ball at a 45 angle. Without an effect from the wind, the ball would travel 60.0 m horizontally. (a) What is the initial speed of the ball? (b) When the ball is near its maximum height it experiences a brief gust of wind that reduces its horizontal velocity by 1.50 m/s. What distance does the ball travel horizontally?A projectile is launched with speed v at an angle of ?2 above the horizontal going to a maximum height NH=4.08 H.The projectile is then launched with the same initial speed but an angle of ?1 above the horizontal going to a maximum height H.Please derive the ratio of the total time of flight of the projectile as the time for launch at angle ?2 to that time at angle ?1.A football quarterback is moving straight backward at a speed of 2.11 m/s when he throws a pass to a player 17.1 m straight downfield. The ball is thrown at an angle of 20.3 relative to the ground and is caught at the same height as it is released. What is the initial velocity of the ball relative to the quarterback? (Assume downfield to be in the +x-direction. Enter the magnitude in m/s and the direction in degrees counterclockwise from the +x-axis) x m/s magnitude direction Additional Materials Submit Answer (counterclockwise from the +x-axis)
- An arrow is shot horizontally from a height of 250m at a speed of 36 m/s. (a) How long does it take to hit the ground? (b) How far away does it hit the ground? (c) What are the horizontal and vertical components of the velocity as it impales the ground? (d) What is the resultant velocity vector of the arrow as it strikes the ground?At t = 0, a projectile is launched with an initial speed of 30.0 m/s at an angle of 75.0 degrees above the horizontal. (a) How far from the starting point (in meters) is the projectile at t = 2.00 s? (b) How fast is the projectile moving (in m/s) at t = 2.00 s?As a projectile moves in its path, is there any point along the path where the velocity and acceleration vectors are (a) perpendicular to each other? (b) Parallel to each other?
- Multiple-Concept Example 4 deals with a situation similar to that presented here. A marble is thrown horizontally with a speed of 21.6 m/s from the top of a building. When it strikes the ground, the marble has a velocity that makes an angle of 59° with the horizontal. From what height above the ground was the marble thrown?A trebuchet (a catapult) is used to launch a fiery projectile towards a castle. The projectile is 5.0 m above the ground when launched at a velocity of 25 m/s at an angle of 35° above the horizontal. Assuming that the projectile lands on the level ground inside the castle walls answer the following questions. (a) How long was the projectile in the air? (b) How far horizontally did the projectile travel from where it was launched to where it hit the ground? (c) What was the velocity of the projectile just before it hit the ground? (d) Include aA projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?