PhanthomJay said:Yes, its all in the kinematic equations and the fact that the car accelerates at 8 m/s/s over a distance d1, then decelerates over a distance d2 at 5 m/s/s, where d1 + d2 =1000 m. Hint: the car accelerates from 0 to some maximum speed, then decelerates from that same max speed to 0 at the finish line.
Not at an acceleration of 8m/s/s. Even if the car were to cross the finish line without applying the brakes before then, the time would be determined from d=1/2(a)(t)^2, solve t = almost 16 seconds...so since the car is braking well before the finish line in order to stop and have no velocity at the finish line, the total time must be greater than 16 seconds.student1ds said:I think I got an answer but to me it doesn't make sense. Is it possible to complete a 1 km race in 9 seconds ?
One equation is d1 +d2 =1000; you'll then need a couple of the kinematic equations for each portion of the trip (d1 and d2, respectively), to solve for the time of each portion.qswdefrg said:I think I'm on the right track... but I always seem to end up with more variables than equations. :/
The race kinematics problem is a physics problem that involves analyzing the motion of objects in a race or competition. It deals with the concepts of displacement, velocity, and acceleration in relation to time and how these factors affect the outcome of a race.
The race kinematics problem is important because it allows us to understand and predict the performance of athletes in a race. By analyzing the motion of the athletes, we can identify areas for improvement and make strategic training and racing decisions.
The key factors that affect race kinematics include the physical abilities of the athletes, such as strength and speed, as well as environmental factors like air resistance and surface conditions. The length and layout of the race track or course also play a significant role.
The race kinematics problem is solved using mathematical equations and principles, such as Newton's laws of motion and kinematic equations. These equations can be used to calculate an athlete's velocity, acceleration, and other important factors that affect their performance in a race.
Yes, the principles of race kinematics can be applied to other areas such as transportation, robotics, and biomechanics. For example, engineers may use race kinematics to design more efficient vehicles, while doctors may use it to analyze the movements of patients with certain medical conditions.