Physics Formula for Constant Acceleration
For an object moving with constant acceleration (\(a\)), the relationship between initial speed (\(V_0\)), final speed (\(v\)), and the distance travelled (\(x\)) is given by the kinematic equation:
\(v^2 = V_0^2 + 2ax\)
Final Speed Calculation
Given the parameters:
- Initial speed: \(V_0\)
- Constant acceleration: \(a\)
- Distance travelled: \(x\)
Based on the standard kinematic equation \(v^2 = V_0^2 + 2ax\), the final speed \(v\) can be determined. Analyzing the provided options, the expression matching the required format for final speed calculation under constant acceleration is presented in Option B.
Option B: \(V_0 + 2ax\)
Similar Questions
- A ball thrown up vertically returns to the ground after 10 second. Find the velocity with which it was thrown up? (if g = 10 m/s2).
- A ball is thrown vertically upward with a speed of 30 m/s. The magnitude of its displacement after 4 s will be ______ (Take \(g = 10 \text{ m/s}^2\).)
- A body falling from rest has a velocity '\(v\)' after it falls through a distance '\(h\)'. The distance it has to fall down further, for its velocity to become double, is _____ times '\(h\)' .
- By applying the brakes without causing a skid, the driver of a car is able to stop his car within a distance of 5 m, if it is going at 36 kmph. If the car were going at 72 kmph, using the same brakes, he can stop the car over a distance of:
- A ball, initially at rest, falls freely from the top of a building and reaches a maximum velocity of \(40\text{ m/s}\). Find the height of the building. (Use acceleration due to gravity, \(g = 10\text{ m/s}^2\))
- A car, starting from rest, is moving with a constant acceleration \(3\text{ m/s}^2\). Find the distance travelled by this car in \(10\text{ s}\).
- A ball is thrown vertically upwards with initial velocity \(V_0\) and returns to its starting point in 6 seconds then the initial velocity with which the ball was thrown will be
- A ball is thrown vertically upward with a speed of 30 m/s. The magnitude of its displacement after 4 s will be _____ (Take \(g = 10\ m/s^2\).)
A particle experiences constant acceleration for 20 s after starting from rest. If it travels a distance X 1, in the first 10 s and distance X 2in the remaining 10 s, then which of the following is true?
Important Questions from Kinematic equations for uniformly accelerated motion
Which of the following is an equation of motion?
I. u = v + at
II. 2as = v 2– u 2
- A ball is thrown vertically upward with a speed of 40 m/s. The time taken by the ball to reach the maximum height would be approximately
- A ball thrown up vertically returns to the ground after 10 second. Find the velocity with which it was thrown up? (if g = 10 m/s2).
Which of the following is an equation of motion?
I. u = v + at
II. 2as = v 2– u 2
A stone is dropped from a ballon going up with a uniform velocity of 5m/sec. If the ballon was 50 m high, then the stone was dropped, the height the ballon from ground when stone hits the ground will be:
(g = 10 m/s 2)
