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The x & y coordinates of a particle at any instant of time is given by x=7t+4t^2 and y=5t^2 where x and y are in meters and t in seconds .find acceleration at t=2 seconds

The x & y coordinates of a particle at any instant of time is given by x=7t+4t^2 and y=5t^2 where x and y are in meters and t in seconds .find acceleration at t=2 seconds

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Grade:11

3 Answers

Harsha Vardhan Sai
22 Points
6 years ago
Given,x=7t+4t`2 Y=5t`2Velocity along x-axis is dx/dt=4t+7Velocity along y-axis isdy/dt=5tNow acceleration along x-axis isdv/dt=4t=4(2)=8-this is alongx-axis at t=2secNow acceleration along y-axis is dv/dt=5
Harsha Vardhan Sai
22 Points
6 years ago
Given,x=7t+4t`2 Y=5t`2Velocity along x-axis is dx/dt=4t+7Velocity along y-axis isdy/dt=5tNow acceleration along x-axis isdv/dt=4t=4(2)=8-this is alongx-axis at t=2sec. Now acceleration along y-axis is dv/dt=5at t=2 seconds but acceleration along y-axis is constant and irrespective of time
Khimraj
3007 Points
6 years ago
x = 7t +4t2
vx = dx/dt = 7 + 8t
ax = dvx/dt = 8
y = 5t2
ay = d2y/dt2 = 10
a = (ax2 + ay2)1/2 = (64 + 100)1/2 = 12.8 m/s2
Hope it clears.

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