A tennis ball is struck from a height of one meter above the ground, with a horizontal velocity of eight meters per second. The ball strikes a wall three meteres horizontally from where the motion began. a. Express the ball's kinematic variables in unit vector notation b. How long will it take for the ball to reach the wall? c. How high up on the wall will the ball strike?

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A tennis ball is struck from a height of one meter above the ground, with a horizontal velocity of eight meters per second. The ball strikes a wall three meteres horizontally from where the motion began.

a. Express the ball's kinematic variables in unit vector notation

b. How long will it take for the ball to reach the wall?

c. How high up on the wall will the ball strike?

d. How fast will the ball be moving, and in what direction, when it strikes the ball?

Expert Solution
Step 1: Know the kinematics equation to be used:

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Kinematics equation for projectile motion:

Any object which is thrown in air and moves only under the effect of gravity is called the projectile. The following kinematics equations can be used to describe the motion of the object.

s with rightwards arrow on top equals s with rightwards arrow on top subscript 0 plus u with rightwards arrow on top t plus 1 half a with rightwards arrow on top t squared                                 (1)

where s with rightwards arrow on top is the final position, s with rightwards arrow on top subscript 0 is the initial position, u with rightwards arrow on top is the initial velocity, a with rightwards arrow on top is the constant acceleration, and t is the time.

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