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A particle starts from origin with unifo...

A particle starts from origin with uniform acceleration. Its displacement after t seconds is given in meter by the relation `x=2+5t+7t^2`. Calculate the magnitude of its
a. Initial velocity
b. Velocity at `t=4s`
c. Uniform acceleration
d. Displacement at `t=5s`

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To solve the problem step by step, we will analyze the given displacement equation and calculate the required quantities. Given the displacement equation: \[ x(t) = 2 + 5t + 7t^2 \] ### Step 1: Calculate Initial Velocity The initial velocity can be found by differentiating the displacement equation with respect to time \( t \) to get the velocity equation. ...
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CENGAGE PHYSICS ENGLISH-BASIC MATHEMATICS-Exercise 2.6
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  3. A particle starts from origin with uniform acceleration. Its displacem...

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  4. The acceleration of a particle is given by a=t^3-3t^2+5, where a is in...

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  5. A particle starts moving along the x-axis from t=0, its position varyi...

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  6. A particle moves along the x-axis obeying the equation x=t(t-1)(t-2), ...

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  7. The speed of a car increases uniformly from zero to 10ms^-1 in 2s and ...

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  8. A car accelerates from rest with 2ms^-2 for 2s and then decelerates co...

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  9. A stationary particle of mass m=1.5kg is acted upon by a variable forc...

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  10. The displacement of a body at any time t after starting is given by s=...

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  11. A particle moves along a straight line such that its displacement at a...

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  12. The displacement x of a particle moving in one dimension under the act...

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  13. The position x of a particle varies with time t according to the relat...

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  14. The displacement of a particle along the x-axis is given by x=3+8t+7t^...

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  15. The acceleration a in ms^-2 of a particle is given by a=3t^2+2t+2, whe...

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  16. The displacement x of a particle along the x-axis at time t is given b...

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  17. A particle moves along a straight line such that its displacement at a...

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  18. The acceleration of a bus is given by ax(t)=at, where a=1.2ms^-2. If...

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  19. The acceleration of a motorcycle is given by ax(t)=At-Bt^2, where A=1....

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  20. The acceleration of a particle varies with time t seconds according to...

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