Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground and leaves the bat at an angle of 30∘ with the horizontal. Find the minimum initial velocity needed for the ball to clear the fence.

Step-by-step explanation:

u = Initial velocity of baseball

= Angle of hit =

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

= Height of hit = 2.5 ft

= g = Acceleration due to gravity =

t = Time taken

Displacement in x direction

Displacement in y direction

The minimum initial velocity needed for the ball to clear the fence is

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: