A particle moves along the x axis according to
the equation x = 2.00 + 3.00 t - 1.00
, where x is in
meters and t is in seconds. At t = 3.00 s, find (a) the
position of the particle, (b) its velocity, and (c) its acceleration.
Serving at a speed of 170 km/h, a tennis player hits the ball at a height of 2.5 m and an angle θ below the horizontal. The service line is 11.9 m from the net, which is 0.91 m high. What is the angle θ such that the ball just crosses the net? Will the ball land in the service box, whose out line is 6.40 m from the net?
1. A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of the building. Ignore air resistance. (a) How long is the ball in the air? (b) What must have been the initial horizontal component of the velocity? (c) What is the vertical component of the velocity just before the ball hits the ground? (d) What is the velocity (including both the horizontal and vertical components) of the ball just before it hits the ground?
1. A jogger runs 224 meters eastward, then 156 meters westward, then 84 meters eastward, and finally 248 meters westward.
For this motion, what is the distance moved? _________________
What is the magnitude and direction of the displacement? _________________
2. A bowling ball moves 15 meters northward, 12 meters southward, then 27 meters northward, and finally 5 meters southward.
For this motion, what is the distance moved? _________________
What is the magnitude and direction of the displacement? _________________
1. A billiard ball moves 18 meters southward, then 12 meters northward, and finally 8 meters southward.
For this motion, what is the distance moved? _________________
What is the magnitude and direction of the displacement? _________________
2. A horse gallops 36 meters eastward, then 44 meters westward, and finally 22 meters eastward.
For this motion, what is the distance moved? _________________
What is the magnitude and direction of the displacement? _________________
3. A car travels 20 meters north, 15 meters south and finally 45 meters north
For this motion, what is the distance moved? _________________
What is the magnitude and direction of the displacement? _________________
1. A dog walks 12 meters to the north and then 16 meters back to the south.
For this motion, what is the distance moved? _________________
What is the magnitude and direction of the displacement? _________________
2. A lady shopper walks eastward 3.2 meters and then westward 7.2 meters.
For this motion, what is the distance moved? _________________
What is the magnitude and direction of the displacement? _________________
3. A basketball player runs 2.5 meters northward and then back pedals 6.8 meters southward.
For this motion, what is the distance moved? _________________
What is the magnitude and direction of the displacement? _________________
Problem 1: A soccer ball is kicked horizontally off a 22.0-meter high hill and lands a distance of 35.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball.
Problem 2: A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28-degrees above the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the long-jumper.
A 5.0 kg bucket of water is raised from a well by a rope. If the upward accelaration of the bucket is 3.0m/s2 find the force exerted by the rope on the bucket
A concave mirror has a radius of curvature of 40.5 cm and is positioned at a distance such that the upright image of a person's face is 1.5 times the size of his face. How far is the mirror from the person's face?
liquid ammonia at a temperature of 26 celcius available at the expansion valve, undergoes isenthalpic process until its temperature becomes 2 degree celcius. find the percentage of liquid vaporized while lowing through the expansion valve