Question

Find the final velocity (v) if initial velocity (u) is 2m/s and acceleration is 5m/s sq and time (t) is 5 seconds. ​

Answer 1

Answer:

27m/s

Explanation:

by Newton's first equation,

v = u + at

v =2 + 5×5

v = 2 + 25

v = 27 m/s

Answer 2

Answer:

Formula of Acceleration

Acceleration is the rate of change in velocity to the change in time. It is denoted by symbol a and is articulated as-

acceleration formula 1

The S.I unit for acceleration is meter per second square or m/s2.

If t (time taken), v (final velocity) and u (initial velocity) are provided. Then the acceleration is given by the formula

velocity in terms of acceleration

Acceleration formula 2

acceleration formula 3

Where,

Final Velocity is v

Initial velocity is u

Acceleration is a

Time taken is t

Distance traveled is s

Acceleration Solved Examples

Underneath we have provided some sample numerical based on acceleration which might aid you to get an idea of how the formula is made use of:

Problem 1: A toy car accelerates from 3 m/s to 5 m/s in 5 s. What is its acceleration?

Answer:

Given: Initial Velocity u = 3  m/s,

Final Velocity v = 5m/s,

Time taken t = 5s.

Acceleration formula 5

acceleration formula 6

acceleration formula 7

acceleration formula 8

Problem 2: A stone is released into the river from a bridge. It takes 4s for the stone to touch the river’s water surface. Compute the height of the bridge from the water level.

Answer:

(Initial Velocity) u = 0 (because the stone was at rest),

t = 4s (t is Time taken)

a = g = 9.8 m/s2, (a is Acceleration due to gravity)

distance traveled by stone = Height of bridge  = s

The distance covered is articulated by

Acceleration formula 9

s = 0 + 1/2 × 9.8 × 4 = 19.6 m/s2

Therefore, s = 19.6 m/s2

Explanation: