The ranges and heights for two projectiles projected with the same initial velocity at angles 42 ° and…

The ranges and heights for two projectiles projected with the same initial velocity at angles 42° and 48° with the horizontal are R1, R2 and H1, H2 respectively. Choose the correct option:
  1. R1=R2 and H1=H2
  2. R1=R2 and H1<H2
  3. R1>R2 and H1=H2
  4. R1<R2 and H1<H2

Solution

RangeR=u2sin2θg and same for θ and 90-θ. So, same for 42° and 48° Maximum height H=u2sin2θ2g, so height is high for higher θ. So, H for 48° is higher than H for 42°. 

Asked in: JEE Main 2021 (01 Sep Shift 2)

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