An object's two dimensional velocity is given by #v(t) = ( t-2 , 5t^2-3t)#. What is the object's rate and direction of acceleration at #t=2 #? Physics 1D Motion Acceleration 1 Answer ali ergin May 26, 2016 #a=17.03" "m/s^2# #tan alpha=17# Explanation: #v(t)=(t-2,5t^2-3t)# #(d v(t))/(d t)=a(t)# #a_x(t)=d/(d t) (t-2)=1" "a_x=1" constant"# #a_y(t)=d/(d t)(5t^2-3t)=10t-3# #a_y(2)=10*2-3# #a_y(2)=17# #a=sqrt(a_x^2+a_y^2)# #a=sqrt(1^2+17^2)# #a=17.03" "m/s^2# #tan alpha=17# Answer link Related questions Why is acceleration measured in meters / seconds squared? An object uniformly accelerates from 15.0m/s west to 35.0m/s west. What is the rate of... A rocket travelling at +88m/s is accelerated to +132m/s over a 15s interval. What is its... An object travels 8.0m south in 3.2s while uniformly accelerating at a rate of 0.71m/s2 south.... A car slows from 22m/s to 3m/s with a constant acceleration of –2.1m/s2. How long does this require? After traveling for 6.0 seconds, a runner reaches a speed of 10 m/s. What is the runner’s acceleration? A helicopter’s speed increases from 25 m/s to 60 m/s in 5 seconds. What is the acceleration of... A cart rolling down an incline for 5.0 seconds has an acceleration of 4.0 m/s2. If the cart has... How does centripetal acceleration differ from linear acceleration? How does acceleration relate to distance? See all questions in Acceleration Impact of this question 1349 views around the world You can reuse this answer Creative Commons License