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# Kinematic Equations

Kinematic Equations.

a. The maximum height above the ground of a projectile launched at an angle of 29.2° to the horizontal is found to be 57.5 m. What is the initial speed of the projectile?b. What is the horizontal range of a projectile launched with a speed of 39.6 m/s at an angle of 28.2° above the horizontal?c. A bicyclist is currently traveling south at 10 km/h and is located 17.3 km south of the center of the nearest town. She begins accelerating north at 4.01 km/h2 and does so for 0.19 hours. What is the displacement of the bicyclist from the center of the nearest town at the end of the 0.19 hours of acceleration? Use the convention that north is positive, south is negative.d. A runner is currently moving at a speed of 5.2 m/s. Over the time it takes the runner to travel the next 20.0 m she accelerates at a constant rate of 0.5 m/s2. What is the runner’s new speed at the end of the 20.0 m?e. A projectile is launched horizontally with a speed of 22.1 m/s. If the projectile takes 4.85 seconds to reach the ground, how far above the ground was the launch point?f. A ball is dropped from a building that is 28.1 m tall. Assuming the ball is in free fall, how many seconds will it take the ball to reach the ground?g. A ball is thrown straight up with a speed of 15.1 m/s. Assuming free fall, how many seconds will it take to return to the original height at which it was released?h. A ball is thrown straight downward with an initial speed of 6.1 m/s. How many meters below the release point will the ball be at a time of 4.2 seconds later if air resistance is ignored?i. A boat travels 12.0 km east at a speed of 10 km/h, then travels 18.2 km north at a speed of 20 km/h and finally travels 12.3 km east at a speed of 15 km/h. What is the magnitude of the average velocity for the boat over the entire trip?j. A boat travels 14.7 km east at a speed of 10 km/h, then travels 13.7 km north at a speed of 20 km/h and finally travels 14.4 km west at a speed of 15 km/h. What is the average speed for the car over the entire trip?
Kinematic Equations