The velocity of a particle varies in time according to the expression V = t³X + 4tŷ – 72 m/s. What is the magnitude of the acceleration of the particle at t = 1s %3D
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- A rabbit is moving in the positive x - direction at 2.00 m/swhen it spots a predator and accelerates to a velocity of12.0 m/s along the negative y - axis, all in 1.50 s. Determine(a) the x - component and (b) the y - component of the rabbit’sacceleration.An ant on a picnic table travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward. What is the magnitude of the ant’s displacement relative to its original position? a.52 cm b. 29 cm c. 70 cm d. 57 cmA rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The coordinates of the rabbit’s position as a function of time t are given by: x = -0.3t2 + 5t + 28 and y = 0.22t2 - 8t + 30 with t in seconds and x and y in meters. What is the velocity at t= 10 sec?
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- What is the difference in acceleration between his head and feet of astronaut is 2m tall? V= 32.9m/sI am having trouble with a 3d motion problem. The problem is as follosw, "At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 2.00 s, the particle's velocity is = (7.00 i + 8.20 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.)" The problem asks me to find acceleration of the particle at any time t and to find its coordinates at any time t. Thanks for the helpA particle moving along the xx-axis has its position described by the function x=(4t3+5t+2)mx=(4t3+5t+2)m, where t is in s. At t = 2 s, what is the particle's position?
- At t = 0 the coordinates of a particle are x = 0, y = 1.98 m. At a time 0.95 s later, its coordinates are x = 3.21 m, y = 4.20 m. Find the components of the particle's average velocity during this time interval. vx = vy =A toy frog is initially at the origin of a Cartesian coordinate system. Upon leaping, its position after a second is given by P = (5.0 cm)i + (7.0 cm)j + (3.0 cm) k What is the distance (in centimeter) traveled by the toy frog assuming straight-line motion?The position of a particle changes from r1= (1.07cm)i+(4.87cm)j to r2=(-4.22cm)i+(4.87cm)j. What is the magnitude of the particles's displacement in cm?