358

Physics Kinematics Level: High School

If the position of a particle is given by x = 25 t- 2t^3, where x is in meters and t is in seconds, answer the following questions ?

(a) when if e+ver, is the particles velocity zero

(b) when is its acceleration a zero ?

(c) When is a negative ?

when 0

when t>0

when t < 0

(d) When is a positive ?

when t>0

when 0

when T<0




357

Physics Kinematics Level: High School

A particle moving at 7.5 m/s in the positive x direction is given an acceleration of 0.1 m/s^2 in the positive y direction for 2.75. What is the final speed of the particle ?



354

Physics Kinematics Level: High School

Use the definition of scalar product, a . b = ab cos theta, and the fact that a . b = axbx + ayby + azbz to calculate the angle between the two vectors given by a = 3.0 i + 5.0 j + 2.0 k and b = 5.0 i + 1.0 j + 4.0 k.



353

Physics Kinematics Level: High School

A person walks in the following pattern: 8.6 km north , then 1.5 km west , and finally 5.6 km south . Construct the vector diagram that represents this motion and from it judge how far and in what direction a bird would fly in a straight line from the same starting point to the same final point . (Choose east as the +x direction)



352

Physics Kinematics Level: High School

A displacement vector r in the xy plane is 8 m long and directed at angle theta = 30 degree as shown in the figure at “click here” . Determine the x and y component of the vector .



348

Physics Kinematics Level: High School

Prior to the diving competition on Zarkon , one of the intragalactic divers kicks a stray meteor off the 10.0 meter diving platform . (ie, the top of the platform is 10.0 meters above the water) Assume she kicks the rock horizontally off the board at a speed of 7.00 m/s :

(a) How long does it take for the rock to hit the water( or whatever you swim in on Zarkon) ?

(b) How far from the base of the diving platform does the rock hit the water ?( take the base of the platform to be directly below the edge facing the water)

(c) What is the speed of the rock when it hits the water ?




346

Physics Kinematics Level: High School

At some point in the future , after the Earth Olympics , the Milky Way Olympics are held on the planet Zarkon . (Zarkon is inhabited by folks who like to think up physics questions ). This planet has a mass that is 0.100 that of the earth , and a radius that is 0.500 that of Earth . Zarkon also has a little moon Abba . Abba has a mass which is 0.010 that of Zarkon , and a radius which is 0.20 that of Zarkon . What is the acceleration of gravity at the surface of the Abba ?



345

Physics Kinematics Level: High School

An Olympic shot putter is doing his thing : His shotput ball , with a mass of 6 kg, lands 20.0 meters from where he launched it at a 45.0 degree angle . Assume he accelerated the shot uniformly for 0.400 seconds , and neglecting the acceleration distance and any height difference between launch and landing (both not quite true) , with how much force did he put the shot ?



344

Physics Kinematics Level: High School

In the metric drag races (a previously-unreported Olympic event) , the hottest cars cross the finish line at speeds of 100 m/s . Assume these cars accelerate uniformly and continuously , what is the magnitude of their average acceleration if the drag track is 400 meters long ?



343

Physics Kinematics Level: High School

In the Olympic trials , the winner of the first heat takes 42 seconds to run the 400 meter sprint . This race complete one lap around the track (assumed to be exactly 400m in circumference) . and the finish line is located at the same point on the track where the sprinters began their race . What was the average velocity of the race winner ?



342

Physics Kinematics Level: High School

Some students have gone to visit Valley of Fire State Park to study rock formations . They park their car and then begin walking to various interesting areas . First they walk northeast(45 degree north of east) for 900 , meters . Then , they walk 1.200 km in a direction 50 degree north of west . Finally , they walk 0.700 in a direction 30 . degree south of west and then set up camp for the night . It took two hours for the students to walk from their car to their camp .

a) How far is the camp from the car (distance and direction , with respect to north) ?

b) What was the students average speed between the car and the camp ?

c) What was the students average velocity between the car and the camp ?




339

Physics Kinematics Level: High School

A city block 500 ft by 500 ft has large building 300 ft by 300 ft in the exact centre . The rest of the block is an unobstructed paved lot . What is the shortest distance from the SW corner to the NE corner of the city block , going through the paved lot . (to the nearest foot) ?



338

Physics Kinematics Level: High School

Suppose you drop a ball from the top of a five-story building onto the sidewalk 70 ft below . What is the initial velocity of the ball ? Determine a function for the height of the ball t seconds after it’s released and how long will the ball be in the air before it hits the ground ?



329

Physics Kinematics Level: High School

A ball is thrown upwards with an initial speed of 80 ft/sec .

a) How high does it go ?

b) What is its speed at the end of 3 sec ?

c) How high is it after 3 sec ?




324

Physics Kinematics Level: High School

Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.0 m/s . How long would it take to reach the ground if it is thrown straight down with the same speed .

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