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# Velocity and acceleration vectors of Planar curves worksheet

Velocity and acceleration vectors of Planar curves worksheet
• 1. Find the velocity vector of a particle whose equation of the motion is given as, x ( t ) = t 2 + 5 t 3 and y ( t ) = t 3 – t 5
here, ‘t’ is representing the time variable. Calculate the velocity vector at t = 3?
1. (141 , - 378 )
2. ( 200 , 475 )
3. ( - 378 , 141 )
4. ( 339, 219 )
• 2. Evaluate the acceleration vector for the particle whose equation of motion is given as, x ( t ) = t + 7 t 4, y ( t ) = 2 t + 3 t 2, At time t = 2?
1. (997, - 5)
2. (112 , 6)
3. (244 , 5)
4. (336, 6)
• 3. Find the velocity vector of a particle whose equation is given as:
x ( t ) = t 4 + t 2,
y ( t ) = 2 t + t,
at point t = 1?
1. (776 , 997)
2. (6 , 3)
3. (985, 120)
4. (- 225, 219)
• 4. Evaluate the acceleration vector for the particle whose equation of motion is given as,
x ( t ) = t 3 + 3 t 3,
y ( t ) = t + 4 t 3,
At time t = 5?
1. (4 , - 997 )
2. (120 ,120)
3. (- 56 , 667)
4. (-120, 120)
• 5. Find the velocity vector of a particle whose equation is given as:
x ( t ) = t 5 + 9 t
y ( t ) = 7 t + t 2
at point t = 5 ?
1. (3134 ,17)
2. (3134, 99)
3. (3135 , 665)
4. (339, 219)
• 6. Evaluate the acceleration vector for the particle whose equation of motion is given as,
x ( t ) = 3 t 4
y ( t ) = 6 t + 3 t 7
At time t = 1 ?
1. (76 , 43)
2. (27 , 36)
3. (554 , 141)
4. (36 , 27)
• 7. Find the velocity vector of a particle whose equation is given as
x ( t ) = t 1 + t 5
y ( t ) = 5?
at point t = 3?
1. ( 0 , -663)
2. (406, 0)
3. (775, 331)
4. (406, 77)
• 8. Evaluate the acceleration vector for the particle whose equation of motion is given as,
x ( t ) = 2 t 2 + 9
y ( t ) = 2 t + t 2
At time t = 177 ?
1. (4 , 2)
2. (9, 1)
3. (9 , 9)
4. (1, 1)
• 9. Find the velocity vector of a particle whose equation is given as
x ( t ) = 2997 t + t 2
y ( t ) = 997 t
at point t = 0 ?
1. (255 , 599)
2. (2997 , 997)
3. (- 995 , 771)
4. (995, 774)
• 10. Evaluate the acceleration vector for the particle whose equation of motion is given as,
x ( t ) = t 1099 + t
y ( t ) = t + 4 t 2995
At time t = 5?
1. (0 , 0)
2. (0, 77)
3. (99 , 0)
4. (44, 0)
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