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- т An object is initially located at (3,4) m with a velocity of io = -5£ – 3ŷ. A constant acceleration of å = т 2£ + 3ŷ is applied to the object for an interval of 5 seconds. a) What is the velocity of the object after 5 seconds? (Answer: 5£ + 12ŷ) b) What is the position of the object after 5 seconds? (Answer: 3£ + 26.5ŷ m) c) What is the average velocity of the object over the 5 second interval? (Answer: 0£ + 4.5ŷ–) d) Plot the acceleration vs time for both x and y e) Plot the velocity vs time for both x and y f) Plot the position vs time for both x and yarrow_forwardA bicycle, initially located xo = 2.3 m at time t=0 seconds, has a velocity at time t given by %3D v = 1.6 t3 + 5.6 t with v in m/s and t in seconds. What is the position x (in meters) and the acceleration a (in m/s-) of the bicycle at time t? O x= 0.53 t + 5.6 t2 + 2.3 a = 4.8 t2 + 5.6 O x = 0.4 t + 2.8 t2 + 2.3 a = 4.8 t2 + 2.3 O x = 4.8 t2 + 5.6 a = 0.4 t + 2.8t + 2.3 O x= 4.8 t2 + 2.3 a = 0.4 t + 2.8 t2 + 2.3 Ox = 0.4 t + 2.8 t2 + 2.3 a = 4,8 t2 + 5.6arrow_forwardA particle with instantaneous velocity V = (2i + 33 + æk) m/s and instantaneous acceleration a = 3ì + 4.53 – 6k m/s² . If path of the particle is a straight line then magnitude of x is: (If numeric value has more than two decimal places, truncate/round off the value to TWo decimal places.)arrow_forward
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- A mouse wants to jump onto a table that is [y] cm high in order to escape from my cat Jackie. Standing [x] cm from the table it jumps, leaving the ground at an angle of [th] degrees, landing on the edge of the table. What is the initial speed of the mouse in meters per second?arrow_forwardinm s 3. An object slides from rest down a regular, sloped surface. Its positions from the starting point, at intervals of 0.2 s, are given in the table below: Time (s) 0.0 0.2 0.4 0.6 0.8 Displacement (m) 0.0 0.03 o0.13 0.30 0.53 a) Calculate the acceleration. b) Determine the displacement of the object after a further 0.2 seconds.arrow_forwardThe velocity v of a particle moving in the xy plane is given by v=(6t-4t2)i+8j,with v in meters per second and t in second. A)What is the acceleration when t=3s? B)When(if ever) is the acceleration zero? C)When (if ever) is the velocity zero ?arrow_forward
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