Question

A ball is projected from the ground with a speed 15 ms^-1 at an angle θ with horizontal so that its range and maximum height are equal, then tan θ will be equal to ______.

Options

• `1/4`

• `1/2`

• 2

• 4

Answer 1

A ball is projected from the ground with a speed 15 ms^-1 at an angle θ with horizontal so that its range and maximum height are equal, then tan θ will be equal to 4.

Explanation:

As range and maximum height are equal,

R = H

⇒ `(2"v"_x-"v"_"y")/"g" = "v"_"y"^2/(2"g")`

⇒ `"v"_x="v"_"y"/4`

⇒ u cos θ = `("u"sintheta)/4`

⇒ tan θ = 4