A sprinter running on a circular track has a velocity of constant magnitude 9.20 m/s and a centripetal acceleration of magnitude 3.80 m/s2.What are (a) the track radius and (b) the period of the circular motion?

A spacecraft has an initial speed of 3037 m/s at an angle of 27 degrees above the positive x axis. Two engines fire for 5.4 seconds, and produce an acceleration of 9.9 m/s/s at an angle of 18.5 degrees above the positive x axis. What is the final speed of the spacecraft? What angle is it at above the positive x-axis?

A speed skater increases his speed from 10m/s to 12.5m/s over a period of 3s while coming out of a curve of 20m radius. What is the magnitude of the resultant acceleration as he leaves the curve?

A woman rides a carnival Ferris wheel at radius 18 m, completing 4.8 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point? (a) Number i Units (b) Number i Units (c) Number i Units

A particle confined to the xy-plane is in uniform circular motion around the origin. The x- and y-coordinates of the particle vary with time as follows: x(t) = r sin(cot) y(t) = r cos(cot). where >= 2.60 m and c = 2.15 s-¹. What are the x- and y-components of the particle's acceleration at an instant when x = 1.00 m and y = 2.40 m. Give your answers by entering numbers into the empty boxes below. ax || || X x² ms ms-2.

Physics A miniature quadcopter is located at x, = 2.25 m and y, =-2.70 m at t = 0 and moves with an average velocity having components Yav, x = 1.70 m/s and Yav, y =-2.50 m/s. What are the x- coordinate and y-coordinate (in m) of the quadcopter's position at t = 1.60 s? x-coordinate = y-coordinate = Please help! Thank you in advance!

15. A runner runs one lap on a 400 m oval in 50 s (i.e. he returns to his starting point in 50 s). What is the magnitude of his average velocity for this 50 s interval? 4.0 m/s 6.0 m/s     8.0 m/s 0.80 m/s zero 14. The magnitudes of two vectors  A and  B are 13 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A +B ? largest  units smallest  units

At t₁ = 3.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular motion is a₁ = (3.00 m/s²)i + (6.00 m/s²)ĵ At t₂ = 7.00 s (less than one period later), the acceleration is a₂ (6.00 m/s²) - (3.00 m/s²) The period is more than 4.00 s. What is the radius of the circle?

A car drives around a circular track of diameter 161 m at a constant speed of 47.4 m/s. During the time it takes the car to travel 256 degrees around, what is the magnitude of the car s average acceleration?  Hint: Do not calculate instantenous accelleration. Instead calculte the average acceleration over the fraction of a complete lap. Average acceleration equals change in velocity divided by change in time, and that this is a two-dimensional situation so you'll have to calculate the x and y components of the average acceleration first and then figure out the magnitude.  Remember also that ax = Δvx/Δt and ay = Δvy/Δt.     0 m/s^2     27.91 m/s^2     13.96 m/s^2     9.84 m/s^2

2. The velocity of a particle is given by v = {14t?î+ (4t + 3)j + 6t³k} m/s, where t is in seconds. If the particle is at the origin when t = 0, determine the magnitude of the particle's acceleration when t = 3 s. Also, what is the x, y, z coordinate position of the particle at this instant?