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No.

However, the statement is true provided that the vertical component of the launch velocity for the two motions are the same.

You also require that both motions end at the same level and that the air resistance etc can be disregarded. The first of these may not always be valid in school exercises, the second is usually implicit.

Q: Is the total time of a ball thrown upwards is equal to the total time of a ball thrown in projectile provided that they have the same initial velocity?

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Projectile velocity refers to the speed at which a projectile, such as a bullet or a ball, travels through the air. It is typically measured in meters per second or feet per second. The velocity of a projectile is determined by various factors, including the initial speed at which it is launched and the forces acting upon it during flight.

To draw a velocity-time graph for a body thrown vertically upwards, the initial velocity will be positive (upwards) and steadily decrease due to gravity until reaching zero at the peak. After the peak, the velocity becomes negative as the body falls back down. The graph will have a symmetrical shape with the velocity decreasing and then increasing back to the initial velocity.

The initial force applied to the projectile when thrown upwards gives it momentum to move in that direction. However, gravity acts as a downward force, causing the projectile to eventually slow down and fall back down. The projectile continues to move upwards until gravity overcomes the initial force and brings it back to the ground.

Yes, it is possible for the initial velocity to be different from zero when the final velocity is zero. For example, an object could be thrown upwards and come to a stop at its highest point, where the final velocity would be zero.

45 degrees to the horizontal will give the maximum flight time for a projectile. If a projectile was fired at 90 degrees to the horizontal, (straight upwards) the projectile will go straight upwards (ignoring the shape, form and aerodynamic properties of the projectile). Likewise if you were to fire a projectile at 0 degrees to the horizontal, the projectile would follow said course, IF gravity was not in effect; a projectile needs some form of vertical velocity to overcome gravity. Hence why 45 degrees will give you the longest distance and consequently flight time.

If the vertical component of the velocity vector is zero, it means that the projectile has reached the peak of its trajectory. At this point, the vertical acceleration of the projectile is equal to the acceleration due to gravity, which is typically -9.81 m/s^2 (assuming upwards is positive and downwards is negative).

False. In the absence of air friction, the horizontal component of a projectile's velocity remains constant throughout its motion. This is due to the fact that there are no external forces acting horizontally to cause a change in velocity.

Gravity acts the same way on objects falling freely down and those thrown upwards. The difference lies in the initial velocity and direction of the objects. Objects thrown upwards have an initial velocity that opposes gravity, causing them to slow down and eventually fall back down due to gravity. Objects falling freely down have an initial velocity of zero and accelerate towards the ground due to gravity.

When an object moves upwards, its velocity is directed upwards if it is moving in the same direction as the motion. The acceleration, due to gravity, is directed downwards towards the center of the Earth. If the object is moving upwards against gravity, its acceleration is directed downwards but is a negative value.

The velocity with which the object is thrown upwards can be found using the equation v = u + at, where v is the final velocity (0 m/s at the top), u is the initial velocity, a is the acceleration due to gravity (-9.81 m/s^2), and t is the time taken to reach the ground (4 seconds). Rearranging the equation to solve for u, we have u = v - at. Plugging in the values, u = 0 - (-9.81 * 4) = 39.24 m/s. Therefore, the object is thrown upwards with a velocity of 39.24 m/s.

Circular motion is a type of two-dimensional motion that is not always projectile motion. In circular motion, such as a car driving around a curve or a satellite orbiting a planet, the object is constantly changing its direction without necessarily being launched upwards. This motion can involve acceleration due to the changes in velocity direction.

When an object is thrown upwards, the acceleration due to gravity pulls it downwards, opposite in direction to its initial velocity. This causes the object to eventually come to a stop and reverse its direction as it falls back down.