Consider a projectile which strikes a target as shown below. Ignore all forces e

Question

Consider a projectile which strikes a target as shown below. Ignore all forces except gravity. Point A refers to a point just beyond the muzzle of the cannon, B refers to the highest point in the trajectory and C refers to a point just before landing on the cliff.

The acceleration at B is ____ the acceleration at C.
Choices = (Greater then, Less then, equal to)

The magnitude of the vertical component of the velocity at A is ____ the magnitude of the vertical component of the velocity at C
Choices = (Greater then, Less then, equal to)

Thank you for all your help.

Explanation / Answer

The acceleration at B is equal to the acceleration at C.

At both point s the only force acting on the projectile is mg and thus the accelaration is g

The magnitude of the vertical component of the velocity at A is equal to the magnitude of the vertical component of the velocity at C.

Since at A and C the projectile is at same height. all the energy is in kinetic form and thus by energy conservation the magnitude of velocity at both the points are same.

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