Advertisements
Advertisements
प्रश्न
Derive the formula : v = u + at, where the symbols have usual meanings.
Advertisements
उत्तर
Consider a body has initial velocity (u) . Suppose it is subjected to a uniform acceleration (a) such that after time (t) its final velocity becomes (v). Now, from the definition of acceleration we know that:
Acceleration = `"Change in velocity"/"Time taken"`
The above expression can also be written as ,
`a = (v-u)/t`
On further simplification, we get the 1st equation of motion,
v = u + at
Where,
(a) - Acceleration
(v) - Final velocity
(u) - Initial velocity
(t) - Time taken
The equation v = u + at is called the first equation of motion and is used to calculate the velocity 'v' acquired by a body in time 't'.
APPEARS IN
संबंधित प्रश्न
A train starting from a railway station and moving with uniform acceleration attains a speed 40 km h−1 in 10 minutes. Find its acceleration.
Fill in the following blank with suitable word :
A motorcycle has a steady……………. of 3 m/s2. This means that every………………. its…………….. increases by………….
Fill in the following blank with a suitable word:
Acceleration is the rate of change of ______ It is measured in ______
A bus running at a speed of 18 km/h is stopped in 2.5 seconds by applying brakes. Calculate the retardation produced.
When a car driver travelling at a speed of 10 m/s applies brakes and brings the car to rest in 20 s, then retardation will be :
State how the velocity-time graph can be used to find
The acceleration of a body
The velocity-time graph of a body in motion is a straight line inclined to the time axis. The correct statement is ___________
What do you understand by the term acceleration?
Area under a v – t graph represents a physical quantity which has the unit
Two stones are thrown vertically upwards simultaneously with their initial velocities u1 and u2 respectively. Prove that the heights reached by them would be in the ratio of `"u"_1^2 : "u"_2^2` (Assume upward acceleration is –g and downward acceleration to be +g)
