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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.Figure OQ3.3 shows a birds-eye view of a car going around a highway curve. As the car moves from point 1 to point 2, its speed doubles. Which of the vectors (a) through (e) shows the direction of the cars average acceleration between these two points?Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what Initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7m/s2 .
- An object is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal.a) What is the maximum height reached by the object?b) What is the total flight time (between launch and touching the ground) of the object?c) What is the horizontal range (maximum x above ground) of the object?Batman’s missile is launched at a velocity of 20 m/s in a direction making an angle of 25° upwardwith the horizontal.a) What is the maximum height reached by the missile?b) What is the total flight time (between launch and touching the ground) of the missile?c) What is the horizontal range (maximum x above ground) of the missile?d) What is the magnitude of the velocity of the missile just before it hits the ground?An object is launched at a velocity of 20m/s in a direction making an angle of 25° upward with the horizontal. a) What is the maximum height reached by the object? b) What is the total flight time ( between launch and touching the ground) of the object? C) What is the horizontal range (maximum x above ground) of the object? d) What is the magnitude of the velocity of the object just before it hits the ground?
- An object is launched at a velocity of 20 m/s in a direction making an angle of 45° upward with the horizontal. a) What is the maximum height reached by the object? b) If the object has a time of flight of 2.9 s, what is the horizontal range of the object?An object is launched at a velocity of 22 m/s in a direction making an angle of 25° upward with the horizontal. a) What is the maximum height reached by the object? b) What is the total flight time (between launch and touching the ground) of the object? c) What is the horizontal range (maximum x above ground) of the object? d) What is the magnitude of the velocity of the object just before it hits the ground?Problem 4: An arrow is shot from a height of 1.95 m toward a cliff of height H. It is shot with a velocity of 28 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.99 s later. a) What is the height H of the cliff in meters b) what is the maximum heigh reached by the arrow along its tragectory in meters c) What is the arrow's speed just before hitting the cliff in m/s
- 1) A child kicks a football with an initial velocity of 15.0 m/s at an angle of 22° above horizontal. The ball lands at the same height from which it was kicked. What is the horizontal range of the ball?A ball is launched at a velocity of 20 m/s in a direction making an angle of 25 upward with the horizontal. a) What is the maximum height reached by the ball? b) What is the total flight time (between launch and touching the ground) of the ball? c) At what horizontal distance from the point of release will it strike the ground? d) What is the magnitude of the velocity of the ball just before it hits the ground?You were hiding in a tree 5 m above the ground when you spotted a rabbit on the ground. You took a pebble and shot it with your sling shot. You missed. You estimated you were aiming downward at -50 degrees (i.e. below horizontal) with an initial speed of 5.0 m/s. How far did the pebble land horizontally away from you?