At the highest point, velocity is acting horizontally and acceleration ( = acceleration due to gravity) is acting vertically downwards. Therefore, at the highest point the angle between velocity and acceleration is
90∘
.
What is the angle between the acceleration and the velocity?
In a uniform circular motion, velocity is always along the tangential direction, and acceleration is always towards the centre, hence the angle between the velocity and acceleration vectors is always
π2
.
What is the angle between the velocity and the acceleration at the highest point of a particle projected upwards at an angle of 30o with the horizontal?
In projectile motion acceleration is directed towards earth and at the peak point the angle between velocity and acceleration is
90∘
. because at the peak point vertical component of velocity is 0.
What is the relationship between velocity and acceleration at the highest point of projectile path?
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Notes: At the highest point of projectile path, the velocity and
acceleration are perpendicular to each other
. At the highest point of projectile path, the projectile possesses velocity only along the horizontal direction.
What is the angle between velocity and acceleration when we throw a body upwards?
The direction of ‘g’ is always downward – towards earth. So, for a body moving upward, the angle between velocity and ‘g’ is
180 degree
.
What is the velocity attained by a projectile at its highest point?
At its highest point,
the vertical velocity is zero
. As the object falls toward Earth again, the vertical velocity increases again in magnitude but points in the opposite direction to the initial vertical velocity.
Does not affect the maximum height of projectile?
It depends on the initial velocity of the projectile and the angle of projection. The maximum height of the projectile is
when the projectile reaches zero vertical velocity
.
What can be the angle between velocity and acceleration for the motion in two or three dimension?
For motion of two or three dimension, the angle between velocity and acceleration vector should be
between 0 and 180 degree
. If the angle is 0 degree then the body will move in only one direction.
What is the angle between the particle’s acceleration and velocity vectors at this this instant?
At one instant, the particle’s speed is 10 meters per second and is increasing at a rate of 10 meters per second squared. The book’s answer: The angle between the particle’s velocity and acceleration vectors is given
450
.
What is the angle between the velocity vector and the acceleration vector?
In a uniform circular motion, the angle between velocity vector and acceleration vector is always
π/2
.
Can a body have constant velocity and still variable speed?
Yes
, a body has constant speed as well as variable velocity. Consider an example: A particle moving in a circular path with a uniform circular motion.
At what point of projectile motion the angle between velocity and acceleration is acute?
Hence angle between the velocity and acceleration is minimum and acute
just before hitting the ground
.
At what point of the projectile path the speed is minimum?
At the highest point of the trajectory
of a projectile, its speed is minimum. This is because the horizontal speed of the projectile remains constant. Now, the only force acting on the projectile is gravity, and the acceleration is that due to gravity, so its speed is minimum at the highest point of the trajectory.
Why is 45 degrees the best launch angle?
A launch at 45 degrees would
allow the ball to remain in the air for a longer time
, but it would then be launched at a lower horizontal speed at the start and it would slow down more because of the longer flight time. An additional aerodynamic force arises if the ball is spinning.
How do you find initial velocity and final velocity?
Final velocity (v) of an object
equals initial velocity (u) of that object plus acceleration (a) of
the object times the elapsed time (t) from u to v. Use standard gravity, a = 9.80665 m/s
2
, for equations involving the Earth’s gravitational force as the acceleration rate of an object.
What force will change the velocity of a body of mass 1 kg?
A
newton
is the force needed to accelerate a body weighing one kilogram by one metre per second per second. The formula F = ma is employed to calculate the number of newtons required to increase or decrease the velocity of a given body.
