Question

x=3t^4 + 2t + 4
Find (I) v at 2 sec
(ii) average velocity from t= 1 sec to t = 3 sec
iii acceleration at t = 1 sec
iv acceleration is uniform or non uniform.​

Answer 1

Explanation:

At t=1s, x=3(1)−4(1)

2

+(1)

3

=0

(b) At t=2s, x=3(2)−4(2)

2

+(2)

3

=−2

(c)At t=3s, x=3(3)−4(3)

2

+(3)

3

=0

(d)At t=4s, x=3(4)−4(4)

2

+(4)

3

=12

(e)Diplacement = 12m

(f)Total displacement between 2 to 4s = 14m

Total time = 2s

Average velocity = 14/2 = 7m/s

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Answer 2

Answer:

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(a) At t=1s, x=3(1)−4(1)2+(1)3=0

(b) At t=2s, x=3(2)−4(2)2+(2)3=−2

(c)At t=3s, x=3(3)−4(3)2+(3)3=0

(d)At t=4s, x=3(4)−4(4)2+(4)3=12

(e)Diplacement  = 12m

(f)Total displacement between 2 to 4s =  14m

Total time = 2s

Average velocity = 14/2 = 7m/s

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