Question

If ,

Initial Velocity = 7 m/s
Time = 4 seconds
Displacement = 92 m
Find Acceleration

[ Hint :- Use Newton's Second Equation of motion i.e , s = ut + $\dfrac{1}{2}$at²

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Answer 1

Explanation:

Displacement (s) of an object equals, velocity (u) times time (t), plus ½ times acceleration (a) times time squared (t2).

s=ut+12at2

Where:

s = displacement

u = initial velocity

a = acceleration

t = time

Use standard gravity, a = 9.80665 m/s2, for equations involving the Earth's gravitational force as the acceleration rate of an object.

Different resources use slightly different variables so you might also encounter this same equation with vi or v0 representing initial velocity (u) such as in the following form:

s=vit+12at2

Where:

s = displacement

vi = initial velocity

a = acceleration

t = time

Answer 2

Given

• Initial Velocity = 7m/s.
• Time = 4seconds.
• Displacement = 92m.

To Find

• Acceleration.

Solution

By using second equation of motion,

s = ut + ½ at²

=> 92 = 7×4 + ½ × a × (4)²

=> 92 = 7×4 + ½ × a × 16

=> 92 = 28 + ½ × a × 16

=> 92 = 28 + 8a

=> 8a = 92 - 28

=> 8a = 64

=> a = 8 m/s².

Therefore

• Acceleration = 8m/s².

Used Abbreviations

s = Displacement.

u = Initial Velocity.

t = Time.

a = Acceleration.

Additional Information

There Equations of Motion

• v = u + at.
• s = ut + ½ at².
• v² = u² + 2às.

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