Concept explainers
A badminton shuttlecock is struck by a racket at a 35° angle, giving it an initial speed of 10 m/s. How high will it go? How far will it travel horizontally before being contacted by the opponent’s racket at the same height from which it was projected? (Answer: dv = 1.68 m; dh = 9.58 m)
To determine: The horizontal and vertical distance of the badminton shuttlecock.
Answer to Problem 9AP
Vertical distance travelled by the shuttle cock is
Explanation of Solution
Calculation:
Write the relation to find the vertical distance travelled by the ball.
Here,
Substitute
Thus, vertical distance travelled by the shuttle cock is
Write the relation to find the time of flight.
Here,
Substitute
Thus, total time of flight is
Write the relation to find the horizontal distance travelled by the ball.
Here,
Substitute
Thus, horizontal distance travelled by the shuttle cock is
Therefore, vertical distance travelled by the shuttle cock is
Want to see more full solutions like this?
Chapter 10 Solutions
BASIC BIOMECHANICS
- A scientist was investigating if differences in the frictional work performed on a model car can change depending on its mass (in grams) and whether the car moves up or down an inclined plane. They decided to measure the amount of frictional force experienced by the model car and the distance it traveled in meters. The scientists were able to evaluate the frictional work using the following data. Mass (g) Distance (m) Force Work Done by Friction (J) car going up the incline 100 39 0.063 2.457 car going down the incline 70 39 0.2309 ? It is known that the relationship between force and distance determines the work done by friction (W+). W₁ = fd Wf work done by friction f = force d = distance Question: How much work done by friction was exerted on the car as it moved down the inclined plane? You may use a calculator. 1 2.457 9.005 11.46 16.16 PREVIOUS FINISHarrow_forwardWhen Galileo Galilei rolled a ball down an inclined plane, it traveled 2 meters in the first second, and a total of 8 meters in the first two With vo = 0, what was its acceleration on this inclined plane? 0 meter per second2 0 meters per second2 0 meters per second2 0 meters per second2 0 meters per second2arrow_forwardAccording to Jean Buridan’s equation, the momentum or “impetus” of an 8 kilogram mass moving at 48 meters per second would be: 192 kilogram-meters per second 384 kilogram-meters per second 576 kilogram-meters per second 768 kilogram-meters per second 960 kilogram-meters per secondarrow_forward
- An airplane flying directly eastward at a constant speed travels 293 km in 2.0 h. (a) what is the average velocity of the plane? (b) what is the instantaneous velocity?arrow_forwardThe “mean-speed theorem” for finding average velocity under constant acceleration, proposed by the Oxford Calculators, and demonstrated geometrically by Nicole Oresme, is expressed algebraically as: density = weight/volume (m1)(v1) = (m2)(v2) (vm) = 1/2 (v0 + vf) s = (v0)(t) + 1/2 (a)(t2) velocity = distance/timearrow_forwardThe “mean-speed theorem” for calculating average velocity under constant acceleration, developed by Thomas Bradwardine and the Mertonian Calculators at Oxford University, is expressed algebraically as: density = weight/volume (m1)(v1) = (m2)(v2) C. (vm) = 1/2 (v0 + vf) s = (v0)(t) + 1/2 (a)(t2) velocity = distance/timearrow_forward
- Using the above “mean-speed theorem”, calculate the average velocity of a car with constant acceleration from 0 km/hour (initial speed) to 80 km/hour (final speed) over a 5-minute period of time. average velocity over 5 minutes = 16 kilometers/hour average velocity over 5 minutes = 20 kilometers/hour average velocity over 5 minutes = 24 kilometers/hour average velocity over 5 minutes = 32 kilometers/hour average velocity over 5 minutes = 40 kilometers/hourarrow_forwarda cat runs across a road that is 9 meters (m) wide. it covered this distance in 3 seconds (s). what is the speed of the car?arrow_forwardwhy is the maximum velocity in the michaeli's equation not touching the rectangular hyperbolic curvearrow_forward
- Suppose as astronaut has landed on Mars. Fully equipped, the astronaut has a mass of 130 kg, and when the astronaut gets in scale, the reading is 477 N. What is the acceleration due to gravity on Mars?arrow_forwardThe data was collected at 100 frames/second. Calculate the velocity and acceleration for each of the joints for the X(horizontal)coordinate. Also, graph the displacement of all three joints (ankle, knee and hip) for the Y (vertical) coordinatearrow_forwardCalculate the total amount of work performed in 5 minutes of exercise on the cycle ergometer, given the following:Resistance on the flywheel = 25 NCranking speed = 60 rpmDistance traveled per revolution = 6 metersarrow_forward
- Basic BiomechanicsBioengineeringISBN:9780073522760Author:Susan J HallPublisher:McGraw-Hill Education