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erma4kov [3.2K]
3 years ago
12

The displacement d (m) of a block sliding along a straight line is given by the equation d = -0.65 t + 0.21 t2, where t is the t

ime in seconds. What is the instantaneous velocity of the block when t = 2.0 s?
Physics
1 answer:
ivolga24 [154]3 years ago
4 0

Answer:

<h3><em>0.19m/s</em></h3>

Explanation:

velocity is the change in displacement of a body with respect to time. Given the displacement d (m) of a block sliding along a straight line is given by the equation d = -0.65 t + 0.21 t², where t is the time in seconds, instantaneous velocity is expressed by differentiating the displacement with respect to time

Velocity = dd/dt

Velocity = -0.65 + 2(0.21)t²⁻¹

Velocity = -0.65 + 0.42t

The instantaneous velocity of the block when t = 2.0 s can be gotten by substituting t = 2.0s into the expression above:

Velocity = -0.65 + 0.42(2)

Velocity = -0.65 + 0.84

Velocity = 0.19

<em>Hence the instantaneous velocity of the block when t = 2.0 s is 0.19m/s</em>

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