Question

A ball is thrown upward at a 45° angle. Inthe absence of air resistance, the ballfollows aA. tangential curve.B. sine curve.C. parabolic curve.D. linear curve.

Answer 1

As ball is projected up in air at an angle of 45 degree without any air resistance

Let the initial speed will be v

now we will have

In x direction

`v_x = v cos45`

in y direction

`v_y = vsin45`

now displacement in x direction

`x = (vcos45)t + 0`

displacement in y direction

`y = (vsin45)t - (1)/(2)gt^2`

now from above two equations we have

`y = (vsin45)(x)/(vcos45) - (1)/(2)g((x)/(vcos45))^2`

`y = xtan45 - (1)/(2v^2cos^245)gx^2`

so above equation is a quadratic equation and hence it will be a parabolic curve

so correct answer will be

C. parabolic curve.